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Finding the Fourth Proportional to 290,453.40, 435,834.90 and 112,966.20

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Solution

The fourth proportional to 290,453.40, 435,834.90 and 112,966.20 is: 169,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,453.40 : 435,834.90 = 112,966.20 : x
  2. Step 2: Convert to fraction form
    290,453.40/435,834.90 = 112,966.20/x
  3. Step 3: Cross multiply
    290,453.40x = 435,834.90 × 112,966.20
  4. Step 4: Simplify right side
    290,453.40x = 49,234,612,480.38
  5. Step 5: Solve for x
    x = 49,234,612,480.38/290,453.40
  6. Step 6: Final answer
    x = 169,509.51

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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.