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Finding the Fourth Proportional to 421,909.46, 582,230.62 and 228,312.93

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Solution

The fourth proportional to 421,909.46, 582,230.62 and 228,312.93 is: 315,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,909.46 : 582,230.62 = 228,312.93 : x
  2. Step 2: Convert to fraction form
    421,909.46/582,230.62 = 228,312.93/x
  3. Step 3: Cross multiply
    421,909.46x = 582,230.62 × 228,312.93
  4. Step 4: Simplify right side
    421,909.46x = 132,930,778,787.92
  5. Step 5: Solve for x
    x = 132,930,778,787.92/421,909.46
  6. Step 6: Final answer
    x = 315,069.44

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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.