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Finding the Fourth Proportional to 417,009.75, 625,520.10 and 136,527

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Solution

The fourth proportional to 417,009.75, 625,520.10 and 136,527 is: 204,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,009.75 : 625,520.10 = 136,527 : x
  2. Step 2: Convert to fraction form
    417,009.75/625,520.10 = 136,527/x
  3. Step 3: Cross multiply
    417,009.75x = 625,520.10 × 136,527
  4. Step 4: Simplify right side
    417,009.75x = 85,400,382,692.70
  5. Step 5: Solve for x
    x = 85,400,382,692.70/417,009.75
  6. Step 6: Final answer
    x = 204,792.29

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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.