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Finding the Fourth Proportional to 539,864.80, 810,287.95 and 287,356.51

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Solution

The fourth proportional to 539,864.80, 810,287.95 and 287,356.51 is: 431,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,864.80 : 810,287.95 = 287,356.51 : x
  2. Step 2: Convert to fraction form
    539,864.80/810,287.95 = 287,356.51/x
  3. Step 3: Cross multiply
    539,864.80x = 810,287.95 × 287,356.51
  4. Step 4: Simplify right side
    539,864.80x = 232,841,517,407.06
  5. Step 5: Solve for x
    x = 232,841,517,407.06/539,864.80
  6. Step 6: Final answer
    x = 431,295.98

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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.