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Finding the Fourth Proportional to 458,785.56, 688,185.26 and 159,275.66

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Solution

The fourth proportional to 458,785.56, 688,185.26 and 159,275.66 is: 238,915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,785.56 : 688,185.26 = 159,275.66 : x
  2. Step 2: Convert to fraction form
    458,785.56/688,185.26 = 159,275.66/x
  3. Step 3: Cross multiply
    458,785.56x = 688,185.26 × 159,275.66
  4. Step 4: Simplify right side
    458,785.56x = 109,611,157,251.47
  5. Step 5: Solve for x
    x = 109,611,157,251.47/458,785.56
  6. Step 6: Final answer
    x = 238,915.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.