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Finding the Fourth Proportional to 457,210.80, 685,330.20 and 220,399.20

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Solution

The fourth proportional to 457,210.80, 685,330.20 and 220,399.20 is: 330,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,210.80 : 685,330.20 = 220,399.20 : x
  2. Step 2: Convert to fraction form
    457,210.80/685,330.20 = 220,399.20/x
  3. Step 3: Cross multiply
    457,210.80x = 685,330.20 × 220,399.20
  4. Step 4: Simplify right side
    457,210.80x = 151,046,227,815.84
  5. Step 5: Solve for x
    x = 151,046,227,815.84/457,210.80
  6. Step 6: Final answer
    x = 330,364.52

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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.