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Finding the Fourth Proportional to 224,894.80, 310,366.38 and 129,415.78

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Solution

The fourth proportional to 224,894.80, 310,366.38 and 129,415.78 is: 178,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,894.80 : 310,366.38 = 129,415.78 : x
  2. Step 2: Convert to fraction form
    224,894.80/310,366.38 = 129,415.78/x
  3. Step 3: Cross multiply
    224,894.80x = 310,366.38 × 129,415.78
  4. Step 4: Simplify right side
    224,894.80x = 40,166,307,153.48
  5. Step 5: Solve for x
    x = 40,166,307,153.48/224,894.80
  6. Step 6: Final answer
    x = 178,600.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.