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Finding the Fourth Proportional to 522,032.80, 783,049.20 and 312,080.80

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Solution

The fourth proportional to 522,032.80, 783,049.20 and 312,080.80 is: 468,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,032.80 : 783,049.20 = 312,080.80 : x
  2. Step 2: Convert to fraction form
    522,032.80/783,049.20 = 312,080.80/x
  3. Step 3: Cross multiply
    522,032.80x = 783,049.20 × 312,080.80
  4. Step 4: Simplify right side
    522,032.80x = 244,374,620,775.36
  5. Step 5: Solve for x
    x = 244,374,620,775.36/522,032.80
  6. Step 6: Final answer
    x = 468,121.20

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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.