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Finding the Fourth Proportional to 200,281.48, 300,314.46 and 80,278.20

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Solution

The fourth proportional to 200,281.48, 300,314.46 and 80,278.20 is: 120,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,281.48 : 300,314.46 = 80,278.20 : x
  2. Step 2: Convert to fraction form
    200,281.48/300,314.46 = 80,278.20/x
  3. Step 3: Cross multiply
    200,281.48x = 300,314.46 × 80,278.20
  4. Step 4: Simplify right side
    200,281.48x = 24,108,704,282.77
  5. Step 5: Solve for x
    x = 24,108,704,282.77/200,281.48
  6. Step 6: Final answer
    x = 120,374.11

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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.