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Finding the Fourth Proportional to 402,514.62, 603,880.80 and 136,275.18

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Solution

The fourth proportional to 402,514.62, 603,880.80 and 136,275.18 is: 204,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,514.62 : 603,880.80 = 136,275.18 : x
  2. Step 2: Convert to fraction form
    402,514.62/603,880.80 = 136,275.18/x
  3. Step 3: Cross multiply
    402,514.62x = 603,880.80 × 136,275.18
  4. Step 4: Simplify right side
    402,514.62x = 82,293,964,718.54
  5. Step 5: Solve for x
    x = 82,293,964,718.54/402,514.62
  6. Step 6: Final answer
    x = 204,449.63

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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.