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Finding the Fourth Proportional to 470,248.86, 649,141.86 and 317,493.84

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Solution

The fourth proportional to 470,248.86, 649,141.86 and 317,493.84 is: 438,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,248.86 : 649,141.86 = 317,493.84 : x
  2. Step 2: Convert to fraction form
    470,248.86/649,141.86 = 317,493.84/x
  3. Step 3: Cross multiply
    470,248.86x = 649,141.86 × 317,493.84
  4. Step 4: Simplify right side
    470,248.86x = 206,098,541,836.14
  5. Step 5: Solve for x
    x = 206,098,541,836.14/470,248.86
  6. Step 6: Final answer
    x = 438,275.47

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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.