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Finding the Fourth Proportional to 387,689.97, 581,535.47 and 188,039.76

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Solution

The fourth proportional to 387,689.97, 581,535.47 and 188,039.76 is: 282,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,689.97 : 581,535.47 = 188,039.76 : x
  2. Step 2: Convert to fraction form
    387,689.97/581,535.47 = 188,039.76/x
  3. Step 3: Cross multiply
    387,689.97x = 581,535.47 × 188,039.76
  4. Step 4: Simplify right side
    387,689.97x = 109,351,789,270.09
  5. Step 5: Solve for x
    x = 109,351,789,270.09/387,689.97
  6. Step 6: Final answer
    x = 282,059.89

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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.