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Finding the Fourth Proportional to 542,928.42, 814,359.33 and 243,328.59

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Solution

The fourth proportional to 542,928.42, 814,359.33 and 243,328.59 is: 364,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,928.42 : 814,359.33 = 243,328.59 : x
  2. Step 2: Convert to fraction form
    542,928.42/814,359.33 = 243,328.59/x
  3. Step 3: Cross multiply
    542,928.42x = 814,359.33 × 243,328.59
  4. Step 4: Simplify right side
    542,928.42x = 198,156,907,522.25
  5. Step 5: Solve for x
    x = 198,156,907,522.25/542,928.42
  6. Step 6: Final answer
    x = 364,977.96

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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.