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Finding the Fourth Proportional to 290,469.30, 435,617.55 and 112,874.10

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Solution

The fourth proportional to 290,469.30, 435,617.55 and 112,874.10 is: 169,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,469.30 : 435,617.55 = 112,874.10 : x
  2. Step 2: Convert to fraction form
    290,469.30/435,617.55 = 112,874.10/x
  3. Step 3: Cross multiply
    290,469.30x = 435,617.55 × 112,874.10
  4. Step 4: Simplify right side
    290,469.30x = 49,169,938,900.46
  5. Step 5: Solve for x
    x = 49,169,938,900.46/290,469.30
  6. Step 6: Final answer
    x = 169,277.58

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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.