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Finding the Fourth Proportional to 393,062.20, 542,445.05 and 221,034.30

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Solution

The fourth proportional to 393,062.20, 542,445.05 and 221,034.30 is: 305,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,062.20 : 542,445.05 = 221,034.30 : x
  2. Step 2: Convert to fraction form
    393,062.20/542,445.05 = 221,034.30/x
  3. Step 3: Cross multiply
    393,062.20x = 542,445.05 × 221,034.30
  4. Step 4: Simplify right side
    393,062.20x = 119,898,960,433.63
  5. Step 5: Solve for x
    x = 119,898,960,433.63/393,062.20
  6. Step 6: Final answer
    x = 305,038.14

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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.