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Finding the Fourth Proportional to 290,044.44, 435,049.08 and 172,464

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Solution

The fourth proportional to 290,044.44, 435,049.08 and 172,464 is: 258,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,044.44 : 435,049.08 = 172,464 : x
  2. Step 2: Convert to fraction form
    290,044.44/435,049.08 = 172,464/x
  3. Step 3: Cross multiply
    290,044.44x = 435,049.08 × 172,464
  4. Step 4: Simplify right side
    290,044.44x = 75,030,304,533.12
  5. Step 5: Solve for x
    x = 75,030,304,533.12/290,044.44
  6. Step 6: Final answer
    x = 258,685.55

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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.