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Finding the Fourth Proportional to 305,203.80, 457,805.70 and 255,340.20

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Solution

The fourth proportional to 305,203.80, 457,805.70 and 255,340.20 is: 383,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,203.80 : 457,805.70 = 255,340.20 : x
  2. Step 2: Convert to fraction form
    305,203.80/457,805.70 = 255,340.20/x
  3. Step 3: Cross multiply
    305,203.80x = 457,805.70 × 255,340.20
  4. Step 4: Simplify right side
    305,203.80x = 116,896,198,999.14
  5. Step 5: Solve for x
    x = 116,896,198,999.14/305,203.80
  6. Step 6: Final answer
    x = 383,010.30

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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.