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Finding the Fourth Proportional to 276,503.79, 414,091.27 and 157,815.30

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Solution

The fourth proportional to 276,503.79, 414,091.27 and 157,815.30 is: 236,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,503.79 : 414,091.27 = 157,815.30 : x
  2. Step 2: Convert to fraction form
    276,503.79/414,091.27 = 157,815.30/x
  3. Step 3: Cross multiply
    276,503.79x = 414,091.27 × 157,815.30
  4. Step 4: Simplify right side
    276,503.79x = 65,349,938,002.43
  5. Step 5: Solve for x
    x = 65,349,938,002.43/276,503.79
  6. Step 6: Final answer
    x = 236,343.73

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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.