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Finding the Fourth Proportional to 254,947.20, 382,420.80 and 239,200.80

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Solution

The fourth proportional to 254,947.20, 382,420.80 and 239,200.80 is: 358,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,947.20 : 382,420.80 = 239,200.80 : x
  2. Step 2: Convert to fraction form
    254,947.20/382,420.80 = 239,200.80/x
  3. Step 3: Cross multiply
    254,947.20x = 382,420.80 × 239,200.80
  4. Step 4: Simplify right side
    254,947.20x = 91,475,361,296.64
  5. Step 5: Solve for x
    x = 91,475,361,296.64/254,947.20
  6. Step 6: Final answer
    x = 358,801.20

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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.