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Finding the Fourth Proportional to 284,611.02, 392,759.60 and 157,283.88

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Solution

The fourth proportional to 284,611.02, 392,759.60 and 157,283.88 is: 217,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,611.02 : 392,759.60 = 157,283.88 : x
  2. Step 2: Convert to fraction form
    284,611.02/392,759.60 = 157,283.88/x
  3. Step 3: Cross multiply
    284,611.02x = 392,759.60 × 157,283.88
  4. Step 4: Simplify right side
    284,611.02x = 61,774,753,008.83
  5. Step 5: Solve for x
    x = 61,774,753,008.83/284,611.02
  6. Step 6: Final answer
    x = 217,049.76

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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.