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Finding the Fourth Proportional to 284,818.64, 393,041.95 and 157,489.88

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Solution

The fourth proportional to 284,818.64, 393,041.95 and 157,489.88 is: 217,331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,818.64 : 393,041.95 = 157,489.88 : x
  2. Step 2: Convert to fraction form
    284,818.64/393,041.95 = 157,489.88/x
  3. Step 3: Cross multiply
    284,818.64x = 393,041.95 × 157,489.88
  4. Step 4: Simplify right side
    284,818.64x = 61,900,129,540.47
  5. Step 5: Solve for x
    x = 61,900,129,540.47/284,818.64
  6. Step 6: Final answer
    x = 217,331.74

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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.