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Finding the Fourth Proportional to 539,114.20, 807,245.70 and 431,999.80

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Solution

The fourth proportional to 539,114.20, 807,245.70 and 431,999.80 is: 646,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,114.20 : 807,245.70 = 431,999.80 : x
  2. Step 2: Convert to fraction form
    539,114.20/807,245.70 = 431,999.80/x
  3. Step 3: Cross multiply
    539,114.20x = 807,245.70 × 431,999.80
  4. Step 4: Simplify right side
    539,114.20x = 348,729,980,950.86
  5. Step 5: Solve for x
    x = 348,729,980,950.86/539,114.20
  6. Step 6: Final answer
    x = 646,857.35

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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.