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Finding the Fourth Proportional to 265,705.74, 398,613.29 and 147,127.95

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Solution

The fourth proportional to 265,705.74, 398,613.29 and 147,127.95 is: 220,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,705.74 : 398,613.29 = 147,127.95 : x
  2. Step 2: Convert to fraction form
    265,705.74/398,613.29 = 147,127.95/x
  3. Step 3: Cross multiply
    265,705.74x = 398,613.29 × 147,127.95
  4. Step 4: Simplify right side
    265,705.74x = 58,647,155,464.82
  5. Step 5: Solve for x
    x = 58,647,155,464.82/265,705.74
  6. Step 6: Final answer
    x = 220,722.20

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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.