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Finding the Fourth Proportional to 542,708.70, 813,832.65 and 262,311.90

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Solution

The fourth proportional to 542,708.70, 813,832.65 and 262,311.90 is: 393,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,708.70 : 813,832.65 = 262,311.90 : x
  2. Step 2: Convert to fraction form
    542,708.70/813,832.65 = 262,311.90/x
  3. Step 3: Cross multiply
    542,708.70x = 813,832.65 × 262,311.90
  4. Step 4: Simplify right side
    542,708.70x = 213,477,988,703.54
  5. Step 5: Solve for x
    x = 213,477,988,703.54/542,708.70
  6. Step 6: Final answer
    x = 393,356.49

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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.