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Finding the Fourth Proportional to 461,045, 636,217.56 and 257,116.88

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Solution

The fourth proportional to 461,045, 636,217.56 and 257,116.88 is: 354,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,045 : 636,217.56 = 257,116.88 : x
  2. Step 2: Convert to fraction form
    461,045/636,217.56 = 257,116.88/x
  3. Step 3: Cross multiply
    461,045x = 636,217.56 × 257,116.88
  4. Step 4: Simplify right side
    461,045x = 163,582,274,028.41
  5. Step 5: Solve for x
    x = 163,582,274,028.41/461,045
  6. Step 6: Final answer
    x = 354,807.61

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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.