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Finding the Fourth Proportional to 284,512.64, 426,769.28 and 74,150.40

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Solution

The fourth proportional to 284,512.64, 426,769.28 and 74,150.40 is: 111,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,512.64 : 426,769.28 = 74,150.40 : x
  2. Step 2: Convert to fraction form
    284,512.64/426,769.28 = 74,150.40/x
  3. Step 3: Cross multiply
    284,512.64x = 426,769.28 × 74,150.40
  4. Step 4: Simplify right side
    284,512.64x = 31,645,112,819.71
  5. Step 5: Solve for x
    x = 31,645,112,819.71/284,512.64
  6. Step 6: Final answer
    x = 111,225.68

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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.