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Finding the Fourth Proportional to 224,424.32, 309,717.41 and 128,937.20

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Solution

The fourth proportional to 224,424.32, 309,717.41 and 128,937.20 is: 177,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,424.32 : 309,717.41 = 128,937.20 : x
  2. Step 2: Convert to fraction form
    224,424.32/309,717.41 = 128,937.20/x
  3. Step 3: Cross multiply
    224,424.32x = 309,717.41 × 128,937.20
  4. Step 4: Simplify right side
    224,424.32x = 39,934,093,443.38
  5. Step 5: Solve for x
    x = 39,934,093,443.38/224,424.32
  6. Step 6: Final answer
    x = 177,940.14

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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.