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Finding the Fourth Proportional to 397,404.60, 596,106.90 and 210,780.60

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Solution

The fourth proportional to 397,404.60, 596,106.90 and 210,780.60 is: 316,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,404.60 : 596,106.90 = 210,780.60 : x
  2. Step 2: Convert to fraction form
    397,404.60/596,106.90 = 210,780.60/x
  3. Step 3: Cross multiply
    397,404.60x = 596,106.90 × 210,780.60
  4. Step 4: Simplify right side
    397,404.60x = 125,647,770,046.14
  5. Step 5: Solve for x
    x = 125,647,770,046.14/397,404.60
  6. Step 6: Final answer
    x = 316,170.90

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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.