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Finding the Fourth Proportional to 276,416.60, 415,062.30 and 209,931.80

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Solution

The fourth proportional to 276,416.60, 415,062.30 and 209,931.80 is: 315,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,416.60 : 415,062.30 = 209,931.80 : x
  2. Step 2: Convert to fraction form
    276,416.60/415,062.30 = 209,931.80/x
  3. Step 3: Cross multiply
    276,416.60x = 415,062.30 × 209,931.80
  4. Step 4: Simplify right side
    276,416.60x = 87,134,775,751.14
  5. Step 5: Solve for x
    x = 87,134,775,751.14/276,416.60
  6. Step 6: Final answer
    x = 315,229.89

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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.