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Finding the Fourth Proportional to 311,215.20, 466,822.80 and 153,751.20

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Solution

The fourth proportional to 311,215.20, 466,822.80 and 153,751.20 is: 230,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,215.20 : 466,822.80 = 153,751.20 : x
  2. Step 2: Convert to fraction form
    311,215.20/466,822.80 = 153,751.20/x
  3. Step 3: Cross multiply
    311,215.20x = 466,822.80 × 153,751.20
  4. Step 4: Simplify right side
    311,215.20x = 71,774,565,687.36
  5. Step 5: Solve for x
    x = 71,774,565,687.36/311,215.20
  6. Step 6: Final answer
    x = 230,626.80

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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.