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Finding the Fourth Proportional to 340,452.04, 469,838.34 and 189,549

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Solution

The fourth proportional to 340,452.04, 469,838.34 and 189,549 is: 261,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,452.04 : 469,838.34 = 189,549 : x
  2. Step 2: Convert to fraction form
    340,452.04/469,838.34 = 189,549/x
  3. Step 3: Cross multiply
    340,452.04x = 469,838.34 × 189,549
  4. Step 4: Simplify right side
    340,452.04x = 89,057,387,508.66
  5. Step 5: Solve for x
    x = 89,057,387,508.66/340,452.04
  6. Step 6: Final answer
    x = 261,585.71

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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.