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Finding the Fourth Proportional to 470,711.52, 649,483.92 and 279,655.20

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Solution

The fourth proportional to 470,711.52, 649,483.92 and 279,655.20 is: 385,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,711.52 : 649,483.92 = 279,655.20 : x
  2. Step 2: Convert to fraction form
    470,711.52/649,483.92 = 279,655.20/x
  3. Step 3: Cross multiply
    470,711.52x = 649,483.92 × 279,655.20
  4. Step 4: Simplify right side
    470,711.52x = 181,631,555,544.38
  5. Step 5: Solve for x
    x = 181,631,555,544.38/470,711.52
  6. Step 6: Final answer
    x = 385,865.97

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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.