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Finding the Fourth Proportional to 312,800.40, 469,200.60 and 299,149.20

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Solution

The fourth proportional to 312,800.40, 469,200.60 and 299,149.20 is: 448,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,800.40 : 469,200.60 = 299,149.20 : x
  2. Step 2: Convert to fraction form
    312,800.40/469,200.60 = 299,149.20/x
  3. Step 3: Cross multiply
    312,800.40x = 469,200.60 × 299,149.20
  4. Step 4: Simplify right side
    312,800.40x = 140,360,984,129.52
  5. Step 5: Solve for x
    x = 140,360,984,129.52/312,800.40
  6. Step 6: Final answer
    x = 448,723.80

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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.