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Finding the Fourth Proportional to 538,437.20, 807,655.80 and 463,641.80

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Solution

The fourth proportional to 538,437.20, 807,655.80 and 463,641.80 is: 695,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,437.20 : 807,655.80 = 463,641.80 : x
  2. Step 2: Convert to fraction form
    538,437.20/807,655.80 = 463,641.80/x
  3. Step 3: Cross multiply
    538,437.20x = 807,655.80 × 463,641.80
  4. Step 4: Simplify right side
    538,437.20x = 374,462,988,892.44
  5. Step 5: Solve for x
    x = 374,462,988,892.44/538,437.20
  6. Step 6: Final answer
    x = 695,462.70

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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.