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Finding the Fourth Proportional to 284,657.28, 392,812.92 and 157,329.60

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Solution

The fourth proportional to 284,657.28, 392,812.92 and 157,329.60 is: 217,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,657.28 : 392,812.92 = 157,329.60 : x
  2. Step 2: Convert to fraction form
    284,657.28/392,812.92 = 157,329.60/x
  3. Step 3: Cross multiply
    284,657.28x = 392,812.92 × 157,329.60
  4. Step 4: Simplify right side
    284,657.28x = 61,801,099,578.43
  5. Step 5: Solve for x
    x = 61,801,099,578.43/284,657.28
  6. Step 6: Final answer
    x = 217,107.04

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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.