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Finding the Fourth Proportional to 497,306.72, 686,265 and 270,947.36

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Solution

The fourth proportional to 497,306.72, 686,265 and 270,947.36 is: 373,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,306.72 : 686,265 = 270,947.36 : x
  2. Step 2: Convert to fraction form
    497,306.72/686,265 = 270,947.36/x
  3. Step 3: Cross multiply
    497,306.72x = 686,265 × 270,947.36
  4. Step 4: Simplify right side
    497,306.72x = 185,941,690,010.40
  5. Step 5: Solve for x
    x = 185,941,690,010.40/497,306.72
  6. Step 6: Final answer
    x = 373,897.40

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1.5x scale

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.