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Finding the Fourth Proportional to 316,294.23, 474,388.38 and 138,753.57

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Solution

The fourth proportional to 316,294.23, 474,388.38 and 138,753.57 is: 208,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,294.23 : 474,388.38 = 138,753.57 : x
  2. Step 2: Convert to fraction form
    316,294.23/474,388.38 = 138,753.57/x
  3. Step 3: Cross multiply
    316,294.23x = 474,388.38 × 138,753.57
  4. Step 4: Simplify right side
    316,294.23x = 65,823,081,291.52
  5. Step 5: Solve for x
    x = 65,823,081,291.52/316,294.23
  6. Step 6: Final answer
    x = 208,107.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.