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Finding the Fourth Proportional to 421,909.61, 582,233.15 and 228,317.18

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Solution

The fourth proportional to 421,909.61, 582,233.15 and 228,317.18 is: 315,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,909.61 : 582,233.15 = 228,317.18 : x
  2. Step 2: Convert to fraction form
    421,909.61/582,233.15 = 228,317.18/x
  3. Step 3: Cross multiply
    421,909.61x = 582,233.15 × 228,317.18
  4. Step 4: Simplify right side
    421,909.61x = 132,933,829,768.93
  5. Step 5: Solve for x
    x = 132,933,829,768.93/421,909.61
  6. Step 6: Final answer
    x = 315,076.56

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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.