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Finding the Fourth Proportional to 379,612.95, 523,840.95 and 218,442

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Solution

The fourth proportional to 379,612.95, 523,840.95 and 218,442 is: 301,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,612.95 : 523,840.95 = 218,442 : x
  2. Step 2: Convert to fraction form
    379,612.95/523,840.95 = 218,442/x
  3. Step 3: Cross multiply
    379,612.95x = 523,840.95 × 218,442
  4. Step 4: Simplify right side
    379,612.95x = 114,428,864,799.90
  5. Step 5: Solve for x
    x = 114,428,864,799.90/379,612.95
  6. Step 6: Final answer
    x = 301,435.62

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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.