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Finding the Fourth Proportional to 284,079.64, 392,031.76 and 155,027.20

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Solution

The fourth proportional to 284,079.64, 392,031.76 and 155,027.20 is: 213,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,079.64 : 392,031.76 = 155,027.20 : x
  2. Step 2: Convert to fraction form
    284,079.64/392,031.76 = 155,027.20/x
  3. Step 3: Cross multiply
    284,079.64x = 392,031.76 × 155,027.20
  4. Step 4: Simplify right side
    284,079.64x = 60,775,586,063.87
  5. Step 5: Solve for x
    x = 60,775,586,063.87/284,079.64
  6. Step 6: Final answer
    x = 213,938.55

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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.