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Finding the Fourth Proportional to 257,633, 386,490.80 and 80,181.04

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Solution

The fourth proportional to 257,633, 386,490.80 and 80,181.04 is: 120,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,633 : 386,490.80 = 80,181.04 : x
  2. Step 2: Convert to fraction form
    257,633/386,490.80 = 80,181.04/x
  3. Step 3: Cross multiply
    257,633x = 386,490.80 × 80,181.04
  4. Step 4: Simplify right side
    257,633x = 30,989,234,294.43
  5. Step 5: Solve for x
    x = 30,989,234,294.43/257,633
  6. Step 6: Final answer
    x = 120,284.41

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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.