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Finding the Fourth Proportional to 387,708.93, 534,959.17 and 226,532.84

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Solution

The fourth proportional to 387,708.93, 534,959.17 and 226,532.84 is: 312,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,708.93 : 534,959.17 = 226,532.84 : x
  2. Step 2: Convert to fraction form
    387,708.93/534,959.17 = 226,532.84/x
  3. Step 3: Cross multiply
    387,708.93x = 534,959.17 × 226,532.84
  4. Step 4: Simplify right side
    387,708.93x = 121,185,816,823.02
  5. Step 5: Solve for x
    x = 121,185,816,823.02/387,708.93
  6. Step 6: Final answer
    x = 312,569.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.