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Finding the Fourth Proportional to 415,917, 624,151.98 and 153,261

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Solution

The fourth proportional to 415,917, 624,151.98 and 153,261 is: 229,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,917 : 624,151.98 = 153,261 : x
  2. Step 2: Convert to fraction form
    415,917/624,151.98 = 153,261/x
  3. Step 3: Cross multiply
    415,917x = 624,151.98 × 153,261
  4. Step 4: Simplify right side
    415,917x = 95,658,156,606.78
  5. Step 5: Solve for x
    x = 95,658,156,606.78/415,917
  6. Step 6: Final answer
    x = 229,993.38

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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.