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Finding the Fourth Proportional to 276,980.85, 415,397.45 and 77,266.05

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Solution

The fourth proportional to 276,980.85, 415,397.45 and 77,266.05 is: 115,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,980.85 : 415,397.45 = 77,266.05 : x
  2. Step 2: Convert to fraction form
    276,980.85/415,397.45 = 77,266.05/x
  3. Step 3: Cross multiply
    276,980.85x = 415,397.45 × 77,266.05
  4. Step 4: Simplify right side
    276,980.85x = 32,096,120,334.74
  5. Step 5: Solve for x
    x = 32,096,120,334.74/276,980.85
  6. Step 6: Final answer
    x = 115,878.48

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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.