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Finding the Fourth Proportional to 276,898.22, 415,341.37 and 77,213.29

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Solution

The fourth proportional to 276,898.22, 415,341.37 and 77,213.29 is: 115,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,898.22 : 415,341.37 = 77,213.29 : x
  2. Step 2: Convert to fraction form
    276,898.22/415,341.37 = 77,213.29/x
  3. Step 3: Cross multiply
    276,898.22x = 415,341.37 × 77,213.29
  4. Step 4: Simplify right side
    276,898.22x = 32,069,871,188.03
  5. Step 5: Solve for x
    x = 32,069,871,188.03/276,898.22
  6. Step 6: Final answer
    x = 115,818.26

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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.