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Finding the Fourth Proportional to 408,755.76, 613,225.89 and 124,471.74

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Solution

The fourth proportional to 408,755.76, 613,225.89 and 124,471.74 is: 186,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,755.76 : 613,225.89 = 124,471.74 : x
  2. Step 2: Convert to fraction form
    408,755.76/613,225.89 = 124,471.74/x
  3. Step 3: Cross multiply
    408,755.76x = 613,225.89 × 124,471.74
  4. Step 4: Simplify right side
    408,755.76x = 76,329,293,541.35
  5. Step 5: Solve for x
    x = 76,329,293,541.35/408,755.76
  6. Step 6: Final answer
    x = 186,735.70

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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.