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Finding the Fourth Proportional to 392,834.72, 542,115.60 and 223,072.64

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Solution

The fourth proportional to 392,834.72, 542,115.60 and 223,072.64 is: 307,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,834.72 : 542,115.60 = 223,072.64 : x
  2. Step 2: Convert to fraction form
    392,834.72/542,115.60 = 223,072.64/x
  3. Step 3: Cross multiply
    392,834.72x = 542,115.60 × 223,072.64
  4. Step 4: Simplify right side
    392,834.72x = 120,931,158,077.18
  5. Step 5: Solve for x
    x = 120,931,158,077.18/392,834.72
  6. Step 6: Final answer
    x = 307,842.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.