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Finding the Fourth Proportional to 284,750.72, 392,920.80 and 157,428.80

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Solution

The fourth proportional to 284,750.72, 392,920.80 and 157,428.80 is: 217,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,750.72 : 392,920.80 = 157,428.80 : x
  2. Step 2: Convert to fraction form
    284,750.72/392,920.80 = 157,428.80/x
  3. Step 3: Cross multiply
    284,750.72x = 392,920.80 × 157,428.80
  4. Step 4: Simplify right side
    284,750.72x = 61,857,050,039.04
  5. Step 5: Solve for x
    x = 61,857,050,039.04/284,750.72
  6. Step 6: Final answer
    x = 217,232.29

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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.