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Finding the Fourth Proportional to 550,472.80, 825,709.20 and 314,276.80

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Solution

The fourth proportional to 550,472.80, 825,709.20 and 314,276.80 is: 471,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,472.80 : 825,709.20 = 314,276.80 : x
  2. Step 2: Convert to fraction form
    550,472.80/825,709.20 = 314,276.80/x
  3. Step 3: Cross multiply
    550,472.80x = 825,709.20 × 314,276.80
  4. Step 4: Simplify right side
    550,472.80x = 259,501,245,106.56
  5. Step 5: Solve for x
    x = 259,501,245,106.56/550,472.80
  6. Step 6: Final answer
    x = 471,415.20

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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.