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Finding the Fourth Proportional to 387,954.32, 581,930.64 and 107,470.76

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Solution

The fourth proportional to 387,954.32, 581,930.64 and 107,470.76 is: 161,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,954.32 : 581,930.64 = 107,470.76 : x
  2. Step 2: Convert to fraction form
    387,954.32/581,930.64 = 107,470.76/x
  3. Step 3: Cross multiply
    387,954.32x = 581,930.64 × 107,470.76
  4. Step 4: Simplify right side
    387,954.32x = 62,540,528,148.09
  5. Step 5: Solve for x
    x = 62,540,528,148.09/387,954.32
  6. Step 6: Final answer
    x = 161,205.91

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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.