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Finding the Fourth Proportional to 356,438.40, 491,866.18 and 203,470.50

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Solution

The fourth proportional to 356,438.40, 491,866.18 and 203,470.50 is: 280,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,438.40 : 491,866.18 = 203,470.50 : x
  2. Step 2: Convert to fraction form
    356,438.40/491,866.18 = 203,470.50/x
  3. Step 3: Cross multiply
    356,438.40x = 491,866.18 × 203,470.50
  4. Step 4: Simplify right side
    356,438.40x = 100,080,257,577.69
  5. Step 5: Solve for x
    x = 100,080,257,577.69/356,438.40
  6. Step 6: Final answer
    x = 280,778.55

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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.