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Finding the Fourth Proportional to 240,428.80, 360,643.20 and 100,169.20

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Solution

The fourth proportional to 240,428.80, 360,643.20 and 100,169.20 is: 150,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,428.80 : 360,643.20 = 100,169.20 : x
  2. Step 2: Convert to fraction form
    240,428.80/360,643.20 = 100,169.20/x
  3. Step 3: Cross multiply
    240,428.80x = 360,643.20 × 100,169.20
  4. Step 4: Simplify right side
    240,428.80x = 36,125,340,829.44
  5. Step 5: Solve for x
    x = 36,125,340,829.44/240,428.80
  6. Step 6: Final answer
    x = 150,253.80

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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.