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Finding the Fourth Proportional to 315,309.84, 472,912.92 and 93,642

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Solution

The fourth proportional to 315,309.84, 472,912.92 and 93,642 is: 140,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,309.84 : 472,912.92 = 93,642 : x
  2. Step 2: Convert to fraction form
    315,309.84/472,912.92 = 93,642/x
  3. Step 3: Cross multiply
    315,309.84x = 472,912.92 × 93,642
  4. Step 4: Simplify right side
    315,309.84x = 44,284,511,654.64
  5. Step 5: Solve for x
    x = 44,284,511,654.64/315,309.84
  6. Step 6: Final answer
    x = 140,447.60

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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.