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Finding the Fourth Proportional to 415,915.95, 623,873.77 and 163,315.29

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Solution

The fourth proportional to 415,915.95, 623,873.77 and 163,315.29 is: 244,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,915.95 : 623,873.77 = 163,315.29 : x
  2. Step 2: Convert to fraction form
    415,915.95/623,873.77 = 163,315.29/x
  3. Step 3: Cross multiply
    415,915.95x = 623,873.77 × 163,315.29
  4. Step 4: Simplify right side
    415,915.95x = 101,888,125,262.66
  5. Step 5: Solve for x
    x = 101,888,125,262.66/415,915.95
  6. Step 6: Final answer
    x = 244,972.87

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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.