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Finding the Fourth Proportional to 714,466, 985,963.08 and 396,514

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Solution

The fourth proportional to 714,466, 985,963.08 and 396,514 is: 547,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,466 : 985,963.08 = 396,514 : x
  2. Step 2: Convert to fraction form
    714,466/985,963.08 = 396,514/x
  3. Step 3: Cross multiply
    714,466x = 985,963.08 × 396,514
  4. Step 4: Simplify right side
    714,466x = 390,948,164,703.12
  5. Step 5: Solve for x
    x = 390,948,164,703.12/714,466
  6. Step 6: Final answer
    x = 547,189.32

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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.