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Finding the Fourth Proportional to 409,046.28, 613,526.49 and 109,557.78

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Solution

The fourth proportional to 409,046.28, 613,526.49 and 109,557.78 is: 164,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,046.28 : 613,526.49 = 109,557.78 : x
  2. Step 2: Convert to fraction form
    409,046.28/613,526.49 = 109,557.78/x
  3. Step 3: Cross multiply
    409,046.28x = 613,526.49 × 109,557.78
  4. Step 4: Simplify right side
    409,046.28x = 67,216,600,215.59
  5. Step 5: Solve for x
    x = 67,216,600,215.59/409,046.28
  6. Step 6: Final answer
    x = 164,325.17

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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.