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Finding the Fourth Proportional to 290,452.40, 435,705.50 and 112,972.76

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Solution

The fourth proportional to 290,452.40, 435,705.50 and 112,972.76 is: 169,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,452.40 : 435,705.50 = 112,972.76 : x
  2. Step 2: Convert to fraction form
    290,452.40/435,705.50 = 112,972.76/x
  3. Step 3: Cross multiply
    290,452.40x = 435,705.50 × 112,972.76
  4. Step 4: Simplify right side
    290,452.40x = 49,222,852,882.18
  5. Step 5: Solve for x
    x = 49,222,852,882.18/290,452.40
  6. Step 6: Final answer
    x = 169,469.60

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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.