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Finding the Fourth Proportional to 421,874.89, 582,072.06 and 240,520.66

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Solution

The fourth proportional to 421,874.89, 582,072.06 and 240,520.66 is: 331,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,874.89 : 582,072.06 = 240,520.66 : x
  2. Step 2: Convert to fraction form
    421,874.89/582,072.06 = 240,520.66/x
  3. Step 3: Cross multiply
    421,874.89x = 582,072.06 × 240,520.66
  4. Step 4: Simplify right side
    421,874.89x = 140,000,356,038.76
  5. Step 5: Solve for x
    x = 140,000,356,038.76/421,874.89
  6. Step 6: Final answer
    x = 331,852.78

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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.