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Finding the Fourth Proportional to 470,534.38, 649,264.35 and 279,542.86

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Solution

The fourth proportional to 470,534.38, 649,264.35 and 279,542.86 is: 385,725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,534.38 : 649,264.35 = 279,542.86 : x
  2. Step 2: Convert to fraction form
    470,534.38/649,264.35 = 279,542.86/x
  3. Step 3: Cross multiply
    470,534.38x = 649,264.35 × 279,542.86
  4. Step 4: Simplify right side
    470,534.38x = 181,497,213,295.04
  5. Step 5: Solve for x
    x = 181,497,213,295.04/470,534.38
  6. Step 6: Final answer
    x = 385,725.72

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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.