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Finding the Fourth Proportional to 485,596.80, 727,228.80 and 464,601.60

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Solution

The fourth proportional to 485,596.80, 727,228.80 and 464,601.60 is: 695,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,596.80 : 727,228.80 = 464,601.60 : x
  2. Step 2: Convert to fraction form
    485,596.80/727,228.80 = 464,601.60/x
  3. Step 3: Cross multiply
    485,596.80x = 727,228.80 × 464,601.60
  4. Step 4: Simplify right side
    485,596.80x = 337,871,664,046.08
  5. Step 5: Solve for x
    x = 337,871,664,046.08/485,596.80
  6. Step 6: Final answer
    x = 695,786.43

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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.