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Finding the Fourth Proportional to 471,008.72, 649,985.92 and 256,144.21

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Solution

The fourth proportional to 471,008.72, 649,985.92 and 256,144.21 is: 353,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,008.72 : 649,985.92 = 256,144.21 : x
  2. Step 2: Convert to fraction form
    471,008.72/649,985.92 = 256,144.21/x
  3. Step 3: Cross multiply
    471,008.72x = 649,985.92 × 256,144.21
  4. Step 4: Simplify right side
    471,008.72x = 166,490,127,724.20
  5. Step 5: Solve for x
    x = 166,490,127,724.20/471,008.72
  6. Step 6: Final answer
    x = 353,475.68

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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.