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Finding the Fourth Proportional to 411,959.90, 618,304.35 and 243,269.30

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Solution

The fourth proportional to 411,959.90, 618,304.35 and 243,269.30 is: 365,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,959.90 : 618,304.35 = 243,269.30 : x
  2. Step 2: Convert to fraction form
    411,959.90/618,304.35 = 243,269.30/x
  3. Step 3: Cross multiply
    411,959.90x = 618,304.35 × 243,269.30
  4. Step 4: Simplify right side
    411,959.90x = 150,414,466,411.46
  5. Step 5: Solve for x
    x = 150,414,466,411.46/411,959.90
  6. Step 6: Final answer
    x = 365,119.19

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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.