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Finding the Fourth Proportional to 521,851.20, 782,776.80 and 311,899.20

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Solution

The fourth proportional to 521,851.20, 782,776.80 and 311,899.20 is: 467,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,851.20 : 782,776.80 = 311,899.20 : x
  2. Step 2: Convert to fraction form
    521,851.20/782,776.80 = 311,899.20/x
  3. Step 3: Cross multiply
    521,851.20x = 782,776.80 × 311,899.20
  4. Step 4: Simplify right side
    521,851.20x = 244,147,457,698.56
  5. Step 5: Solve for x
    x = 244,147,457,698.56/521,851.20
  6. Step 6: Final answer
    x = 467,848.80

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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.