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Finding the Fourth Proportional to 1,316,327,430.90, 1,974,783,438.90 and 442,904,147.40

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Solution

The fourth proportional to 1,316,327,430.90, 1,974,783,438.90 and 442,904,147.40 is: 664,454,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,327,430.90 : 1,974,783,438.90 = 442,904,147.40 : x
  2. Step 2: Convert to fraction form
    1,316,327,430.90/1,974,783,438.90 = 442,904,147.40/x
  3. Step 3: Cross multiply
    1,316,327,430.90x = 1,974,783,438.90 × 442,904,147.40
  4. Step 4: Simplify right side
    1,316,327,430.90x = 874,639,775,305,644,544
  5. Step 5: Solve for x
    x = 874,639,775,305,644,544/1,316,327,430.90
  6. Step 6: Final answer
    x = 664,454,568.65

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.