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Finding the Fourth Proportional to 542,815.60, 814,223.40 and 343,361.20

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Solution

The fourth proportional to 542,815.60, 814,223.40 and 343,361.20 is: 515,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,815.60 : 814,223.40 = 343,361.20 : x
  2. Step 2: Convert to fraction form
    542,815.60/814,223.40 = 343,361.20/x
  3. Step 3: Cross multiply
    542,815.60x = 814,223.40 × 343,361.20
  4. Step 4: Simplify right side
    542,815.60x = 279,572,723,692.08
  5. Step 5: Solve for x
    x = 279,572,723,692.08/542,815.60
  6. Step 6: Final answer
    x = 515,041.80

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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.