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Finding the Fourth Proportional to 537,854.78, 806,524.83 and 313,279.28

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Solution

The fourth proportional to 537,854.78, 806,524.83 and 313,279.28 is: 469,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,854.78 : 806,524.83 = 313,279.28 : x
  2. Step 2: Convert to fraction form
    537,854.78/806,524.83 = 313,279.28/x
  3. Step 3: Cross multiply
    537,854.78x = 806,524.83 × 313,279.28
  4. Step 4: Simplify right side
    537,854.78x = 252,667,514,011.90
  5. Step 5: Solve for x
    x = 252,667,514,011.90/537,854.78
  6. Step 6: Final answer
    x = 469,769.03

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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.