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Finding the Fourth Proportional to 408,141.14, 612,209.70 and 104,534.71

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Solution

The fourth proportional to 408,141.14, 612,209.70 and 104,534.71 is: 156,801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,141.14 : 612,209.70 = 104,534.71 : x
  2. Step 2: Convert to fraction form
    408,141.14/612,209.70 = 104,534.71/x
  3. Step 3: Cross multiply
    408,141.14x = 612,209.70 × 104,534.71
  4. Step 4: Simplify right side
    408,141.14x = 63,997,161,918.16
  5. Step 5: Solve for x
    x = 63,997,161,918.16/408,141.14
  6. Step 6: Final answer
    x = 156,801.55

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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.