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Finding the Fourth Proportional to 472,147.20, 708,220.80 and 440,812.80

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Solution

The fourth proportional to 472,147.20, 708,220.80 and 440,812.80 is: 661,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,147.20 : 708,220.80 = 440,812.80 : x
  2. Step 2: Convert to fraction form
    472,147.20/708,220.80 = 440,812.80/x
  3. Step 3: Cross multiply
    472,147.20x = 708,220.80 × 440,812.80
  4. Step 4: Simplify right side
    472,147.20x = 312,192,793,866.24
  5. Step 5: Solve for x
    x = 312,192,793,866.24/472,147.20
  6. Step 6: Final answer
    x = 661,219.20

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Similar ratio
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1.5x scale

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.