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Finding the Fourth Proportional to 224,780.32, 310,184.40 and 129,288.62

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Solution

The fourth proportional to 224,780.32, 310,184.40 and 129,288.62 is: 178,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,780.32 : 310,184.40 = 129,288.62 : x
  2. Step 2: Convert to fraction form
    224,780.32/310,184.40 = 129,288.62/x
  3. Step 3: Cross multiply
    224,780.32x = 310,184.40 × 129,288.62
  4. Step 4: Simplify right side
    224,780.32x = 40,103,313,021.53
  5. Step 5: Solve for x
    x = 40,103,313,021.53/224,780.32
  6. Step 6: Final answer
    x = 178,411.14

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1.5x scale

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.