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Finding the Fourth Proportional to 284,614.54, 392,776.20 and 155,560.20

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Solution

The fourth proportional to 284,614.54, 392,776.20 and 155,560.20 is: 214,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,614.54 : 392,776.20 = 155,560.20 : x
  2. Step 2: Convert to fraction form
    284,614.54/392,776.20 = 155,560.20/x
  3. Step 3: Cross multiply
    284,614.54x = 392,776.20 × 155,560.20
  4. Step 4: Simplify right side
    284,614.54x = 61,100,344,227.24
  5. Step 5: Solve for x
    x = 61,100,344,227.24/284,614.54
  6. Step 6: Final answer
    x = 214,677.52

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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.