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Finding the Fourth Proportional to 290,626.84, 435,948.46 and 80,264.80

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Solution

The fourth proportional to 290,626.84, 435,948.46 and 80,264.80 is: 120,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,626.84 : 435,948.46 = 80,264.80 : x
  2. Step 2: Convert to fraction form
    290,626.84/435,948.46 = 80,264.80/x
  3. Step 3: Cross multiply
    290,626.84x = 435,948.46 × 80,264.80
  4. Step 4: Simplify right side
    290,626.84x = 34,991,315,952.21
  5. Step 5: Solve for x
    x = 34,991,315,952.21/290,626.84
  6. Step 6: Final answer
    x = 120,399.46

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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.