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Finding the Fourth Proportional to 317,456.48, 438,109.63 and 209,839.88

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Solution

The fourth proportional to 317,456.48, 438,109.63 and 209,839.88 is: 289,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,456.48 : 438,109.63 = 209,839.88 : x
  2. Step 2: Convert to fraction form
    317,456.48/438,109.63 = 209,839.88/x
  3. Step 3: Cross multiply
    317,456.48x = 438,109.63 × 209,839.88
  4. Step 4: Simplify right side
    317,456.48x = 91,932,872,186.04
  5. Step 5: Solve for x
    x = 91,932,872,186.04/317,456.48
  6. Step 6: Final answer
    x = 289,592.05

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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.