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Finding the Fourth Proportional to 276,419.60, 415,066.80 and 209,934.80

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Solution

The fourth proportional to 276,419.60, 415,066.80 and 209,934.80 is: 315,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,419.60 : 415,066.80 = 209,934.80 : x
  2. Step 2: Convert to fraction form
    276,419.60/415,066.80 = 209,934.80/x
  3. Step 3: Cross multiply
    276,419.60x = 415,066.80 × 209,934.80
  4. Step 4: Simplify right side
    276,419.60x = 87,136,965,644.64
  5. Step 5: Solve for x
    x = 87,136,965,644.64/276,419.60
  6. Step 6: Final answer
    x = 315,234.40

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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.