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Finding the Fourth Proportional to 542,882.80, 813,794.70 and 258,496.93

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Solution

The fourth proportional to 542,882.80, 813,794.70 and 258,496.93 is: 387,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,882.80 : 813,794.70 = 258,496.93 : x
  2. Step 2: Convert to fraction form
    542,882.80/813,794.70 = 258,496.93/x
  3. Step 3: Cross multiply
    542,882.80x = 813,794.70 × 258,496.93
  4. Step 4: Simplify right side
    542,882.80x = 210,363,432,132.83
  5. Step 5: Solve for x
    x = 210,363,432,132.83/542,882.80
  6. Step 6: Final answer
    x = 387,493.27

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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.