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Finding the Fourth Proportional to 390,830.92, 539,347.66 and 211,982.92

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Solution

The fourth proportional to 390,830.92, 539,347.66 and 211,982.92 is: 292,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,830.92 : 539,347.66 = 211,982.92 : x
  2. Step 2: Convert to fraction form
    390,830.92/539,347.66 = 211,982.92/x
  3. Step 3: Cross multiply
    390,830.92x = 539,347.66 × 211,982.92
  4. Step 4: Simplify right side
    390,830.92x = 114,332,491,861.97
  5. Step 5: Solve for x
    x = 114,332,491,861.97/390,830.92
  6. Step 6: Final answer
    x = 292,536.97

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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.