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Finding the Fourth Proportional to 367,397.40, 506,980.42 and 206,221.31

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Solution

The fourth proportional to 367,397.40, 506,980.42 and 206,221.31 is: 284,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,397.40 : 506,980.42 = 206,221.31 : x
  2. Step 2: Convert to fraction form
    367,397.40/506,980.42 = 206,221.31/x
  3. Step 3: Cross multiply
    367,397.40x = 506,980.42 × 206,221.31
  4. Step 4: Simplify right side
    367,397.40x = 104,550,165,980.80
  5. Step 5: Solve for x
    x = 104,550,165,980.80/367,397.40
  6. Step 6: Final answer
    x = 284,569.69

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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.