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Finding the Fourth Proportional to 430,502.12, 645,759.40 and 150,019.38

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Solution

The fourth proportional to 430,502.12, 645,759.40 and 150,019.38 is: 225,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,502.12 : 645,759.40 = 150,019.38 : x
  2. Step 2: Convert to fraction form
    430,502.12/645,759.40 = 150,019.38/x
  3. Step 3: Cross multiply
    430,502.12x = 645,759.40 × 150,019.38
  4. Step 4: Simplify right side
    430,502.12x = 96,876,424,817.17
  5. Step 5: Solve for x
    x = 96,876,424,817.17/430,502.12
  6. Step 6: Final answer
    x = 225,031.24

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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.