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Finding the Fourth Proportional to 397,404.10, 596,106.15 and 391,499.20

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Solution

The fourth proportional to 397,404.10, 596,106.15 and 391,499.20 is: 587,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,404.10 : 596,106.15 = 391,499.20 : x
  2. Step 2: Convert to fraction form
    397,404.10/596,106.15 = 391,499.20/x
  3. Step 3: Cross multiply
    397,404.10x = 596,106.15 × 391,499.20
  4. Step 4: Simplify right side
    397,404.10x = 233,375,080,840.08
  5. Step 5: Solve for x
    x = 233,375,080,840.08/397,404.10
  6. Step 6: Final answer
    x = 587,248.80

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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.