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Finding the Fourth Proportional to 520,041.60, 780,062.40 and 431,395.20

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Solution

The fourth proportional to 520,041.60, 780,062.40 and 431,395.20 is: 647,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,041.60 : 780,062.40 = 431,395.20 : x
  2. Step 2: Convert to fraction form
    520,041.60/780,062.40 = 431,395.20/x
  3. Step 3: Cross multiply
    520,041.60x = 780,062.40 × 431,395.20
  4. Step 4: Simplify right side
    520,041.60x = 336,515,175,060.48
  5. Step 5: Solve for x
    x = 336,515,175,060.48/520,041.60
  6. Step 6: Final answer
    x = 647,092.80

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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.