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Finding the Fourth Proportional to 470,407.72, 649,168.19 and 255,551.17

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Solution

The fourth proportional to 470,407.72, 649,168.19 and 255,551.17 is: 352,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,407.72 : 649,168.19 = 255,551.17 : x
  2. Step 2: Convert to fraction form
    470,407.72/649,168.19 = 255,551.17/x
  3. Step 3: Cross multiply
    470,407.72x = 649,168.19 × 255,551.17
  4. Step 4: Simplify right side
    470,407.72x = 165,895,690,481.28
  5. Step 5: Solve for x
    x = 165,895,690,481.28/470,407.72
  6. Step 6: Final answer
    x = 352,663.62

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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.