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Finding the Fourth Proportional to 276,854.60, 415,022.70 and 216,849.80

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Solution

The fourth proportional to 276,854.60, 415,022.70 and 216,849.80 is: 325,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,854.60 : 415,022.70 = 216,849.80 : x
  2. Step 2: Convert to fraction form
    276,854.60/415,022.70 = 216,849.80/x
  3. Step 3: Cross multiply
    276,854.60x = 415,022.70 × 216,849.80
  4. Step 4: Simplify right side
    276,854.60x = 89,997,589,490.46
  5. Step 5: Solve for x
    x = 89,997,589,490.46/276,854.60
  6. Step 6: Final answer
    x = 325,071.68

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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.