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Finding the Fourth Proportional to 415,287, 623,034.54 and 119,799

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Solution

The fourth proportional to 415,287, 623,034.54 and 119,799 is: 179,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,287 : 623,034.54 = 119,799 : x
  2. Step 2: Convert to fraction form
    415,287/623,034.54 = 119,799/x
  3. Step 3: Cross multiply
    415,287x = 623,034.54 × 119,799
  4. Step 4: Simplify right side
    415,287x = 74,638,914,857.46
  5. Step 5: Solve for x
    x = 74,638,914,857.46/415,287
  6. Step 6: Final answer
    x = 179,728.51

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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.