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Finding the Fourth Proportional to 409,555.90, 613,896.45 and 156,738.70

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Solution

The fourth proportional to 409,555.90, 613,896.45 and 156,738.70 is: 234,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,555.90 : 613,896.45 = 156,738.70 : x
  2. Step 2: Convert to fraction form
    409,555.90/613,896.45 = 156,738.70/x
  3. Step 3: Cross multiply
    409,555.90x = 613,896.45 × 156,738.70
  4. Step 4: Simplify right side
    409,555.90x = 96,221,331,507.62
  5. Step 5: Solve for x
    x = 96,221,331,507.62/409,555.90
  6. Step 6: Final answer
    x = 234,940.66

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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.