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Finding the Fourth Proportional to 542,823.30, 814,234.95 and 455,732.10

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Solution

The fourth proportional to 542,823.30, 814,234.95 and 455,732.10 is: 683,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,823.30 : 814,234.95 = 455,732.10 : x
  2. Step 2: Convert to fraction form
    542,823.30/814,234.95 = 455,732.10/x
  3. Step 3: Cross multiply
    542,823.30x = 814,234.95 × 455,732.10
  4. Step 4: Simplify right side
    542,823.30x = 371,073,003,656.90
  5. Step 5: Solve for x
    x = 371,073,003,656.90/542,823.30
  6. Step 6: Final answer
    x = 683,598.15

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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.