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Finding the Fourth Proportional to 542,874.55, 813,782.33 and 258,488.69

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Solution

The fourth proportional to 542,874.55, 813,782.33 and 258,488.69 is: 387,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,874.55 : 813,782.33 = 258,488.69 : x
  2. Step 2: Convert to fraction form
    542,874.55/813,782.33 = 258,488.69/x
  3. Step 3: Cross multiply
    542,874.55x = 813,782.33 × 258,488.69
  4. Step 4: Simplify right side
    542,874.55x = 210,353,526,024.03
  5. Step 5: Solve for x
    x = 210,353,526,024.03/542,874.55
  6. Step 6: Final answer
    x = 387,480.91

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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.