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Finding the Fourth Proportional to 284,061.72, 392,004.36 and 156,736.20

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Solution

The fourth proportional to 284,061.72, 392,004.36 and 156,736.20 is: 216,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,061.72 : 392,004.36 = 156,736.20 : x
  2. Step 2: Convert to fraction form
    284,061.72/392,004.36 = 156,736.20/x
  3. Step 3: Cross multiply
    284,061.72x = 392,004.36 × 156,736.20
  4. Step 4: Simplify right side
    284,061.72x = 61,441,273,769.83
  5. Step 5: Solve for x
    x = 61,441,273,769.83/284,061.72
  6. Step 6: Final answer
    x = 216,295.51

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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.