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Finding the Fourth Proportional to 539,863.80, 810,286.45 and 287,355.51

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Solution

The fourth proportional to 539,863.80, 810,286.45 and 287,355.51 is: 431,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,863.80 : 810,286.45 = 287,355.51 : x
  2. Step 2: Convert to fraction form
    539,863.80/810,286.45 = 287,355.51/x
  3. Step 3: Cross multiply
    539,863.80x = 810,286.45 × 287,355.51
  4. Step 4: Simplify right side
    539,863.80x = 232,840,276,983.83
  5. Step 5: Solve for x
    x = 232,840,276,983.83/539,863.80
  6. Step 6: Final answer
    x = 431,294.48

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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.