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Finding the Fourth Proportional to 472,939.38, 709,689.48 and 443,016.42

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Solution

The fourth proportional to 472,939.38, 709,689.48 and 443,016.42 is: 664,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,939.38 : 709,689.48 = 443,016.42 : x
  2. Step 2: Convert to fraction form
    472,939.38/709,689.48 = 443,016.42/x
  3. Step 3: Cross multiply
    472,939.38x = 709,689.48 × 443,016.42
  4. Step 4: Simplify right side
    472,939.38x = 314,404,092,741.26
  5. Step 5: Solve for x
    x = 314,404,092,741.26/472,939.38
  6. Step 6: Final answer
    x = 664,787.30

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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.