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Finding the Fourth Proportional to 409,921.01, 614,859.35 and 125,612.38

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Solution

The fourth proportional to 409,921.01, 614,859.35 and 125,612.38 is: 188,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,921.01 : 614,859.35 = 125,612.38 : x
  2. Step 2: Convert to fraction form
    409,921.01/614,859.35 = 125,612.38/x
  3. Step 3: Cross multiply
    409,921.01x = 614,859.35 × 125,612.38
  4. Step 4: Simplify right side
    409,921.01x = 77,233,949,636.57
  5. Step 5: Solve for x
    x = 77,233,949,636.57/409,921.01
  6. Step 6: Final answer
    x = 188,411.78

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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.