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Finding the Fourth Proportional to 392,002.10, 588,003.15 and 357,010.10

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Solution

The fourth proportional to 392,002.10, 588,003.15 and 357,010.10 is: 535,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,002.10 : 588,003.15 = 357,010.10 : x
  2. Step 2: Convert to fraction form
    392,002.10/588,003.15 = 357,010.10/x
  3. Step 3: Cross multiply
    392,002.10x = 588,003.15 × 357,010.10
  4. Step 4: Simplify right side
    392,002.10x = 209,923,063,381.82
  5. Step 5: Solve for x
    x = 209,923,063,381.82/392,002.10
  6. Step 6: Final answer
    x = 535,515.15

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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.