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Finding the Fourth Proportional to 276,877.60, 415,316.40 and 274,253.20

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Solution

The fourth proportional to 276,877.60, 415,316.40 and 274,253.20 is: 411,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,877.60 : 415,316.40 = 274,253.20 : x
  2. Step 2: Convert to fraction form
    276,877.60/415,316.40 = 274,253.20/x
  3. Step 3: Cross multiply
    276,877.60x = 415,316.40 × 274,253.20
  4. Step 4: Simplify right side
    276,877.60x = 113,901,851,712.48
  5. Step 5: Solve for x
    x = 113,901,851,712.48/276,877.60
  6. Step 6: Final answer
    x = 411,379.80

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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.