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Finding the Fourth Proportional to 203,909.60, 305,864.40 and 171,432.65

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Solution

The fourth proportional to 203,909.60, 305,864.40 and 171,432.65 is: 257,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,909.60 : 305,864.40 = 171,432.65 : x
  2. Step 2: Convert to fraction form
    203,909.60/305,864.40 = 171,432.65/x
  3. Step 3: Cross multiply
    203,909.60x = 305,864.40 × 171,432.65
  4. Step 4: Simplify right side
    203,909.60x = 52,435,144,632.66
  5. Step 5: Solve for x
    x = 52,435,144,632.66/203,909.60
  6. Step 6: Final answer
    x = 257,148.98

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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.