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Finding the Fourth Proportional to 276,871.20, 415,088.10 and 118,969.80

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Solution

The fourth proportional to 276,871.20, 415,088.10 and 118,969.80 is: 178,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,871.20 : 415,088.10 = 118,969.80 : x
  2. Step 2: Convert to fraction form
    276,871.20/415,088.10 = 118,969.80/x
  3. Step 3: Cross multiply
    276,871.20x = 415,088.10 × 118,969.80
  4. Step 4: Simplify right side
    276,871.20x = 49,382,948,239.38
  5. Step 5: Solve for x
    x = 49,382,948,239.38/276,871.20
  6. Step 6: Final answer
    x = 178,360.73

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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.