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Finding the Fourth Proportional to 212,475.70, 318,713.55 and 200,009.80

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Solution

The fourth proportional to 212,475.70, 318,713.55 and 200,009.80 is: 300,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,475.70 : 318,713.55 = 200,009.80 : x
  2. Step 2: Convert to fraction form
    212,475.70/318,713.55 = 200,009.80/x
  3. Step 3: Cross multiply
    212,475.70x = 318,713.55 × 200,009.80
  4. Step 4: Simplify right side
    212,475.70x = 63,745,833,392.79
  5. Step 5: Solve for x
    x = 63,745,833,392.79/212,475.70
  6. Step 6: Final answer
    x = 300,014.70

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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.