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Finding the Fourth Proportional to 311,041.86, 429,307.77 and 203,549.61

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Solution

The fourth proportional to 311,041.86, 429,307.77 and 203,549.61 is: 280,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,041.86 : 429,307.77 = 203,549.61 : x
  2. Step 2: Convert to fraction form
    311,041.86/429,307.77 = 203,549.61/x
  3. Step 3: Cross multiply
    311,041.86x = 429,307.77 × 203,549.61
  4. Step 4: Simplify right side
    311,041.86x = 87,385,427,966.86
  5. Step 5: Solve for x
    x = 87,385,427,966.86/311,041.86
  6. Step 6: Final answer
    x = 280,944.27

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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.