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Finding the Fourth Proportional to 442,853.20, 664,279.80 and 256,229.20

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Solution

The fourth proportional to 442,853.20, 664,279.80 and 256,229.20 is: 384,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,853.20 : 664,279.80 = 256,229.20 : x
  2. Step 2: Convert to fraction form
    442,853.20/664,279.80 = 256,229.20/x
  3. Step 3: Cross multiply
    442,853.20x = 664,279.80 × 256,229.20
  4. Step 4: Simplify right side
    442,853.20x = 170,207,881,730.16
  5. Step 5: Solve for x
    x = 170,207,881,730.16/442,853.20
  6. Step 6: Final answer
    x = 384,343.80

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1.5x scale

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.