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Finding the Fourth Proportional to 420,115.64, 630,255.48 and 135,876.80

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Solution

The fourth proportional to 420,115.64, 630,255.48 and 135,876.80 is: 203,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,115.64 : 630,255.48 = 135,876.80 : x
  2. Step 2: Convert to fraction form
    420,115.64/630,255.48 = 135,876.80/x
  3. Step 3: Cross multiply
    420,115.64x = 630,255.48 × 135,876.80
  4. Step 4: Simplify right side
    420,115.64x = 85,637,097,804.86
  5. Step 5: Solve for x
    x = 85,637,097,804.86/420,115.64
  6. Step 6: Final answer
    x = 203,841.73

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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.