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Finding the Fourth Proportional to 351,415.68, 527,118.85 and 85,178.51

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Solution

The fourth proportional to 351,415.68, 527,118.85 and 85,178.51 is: 127,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,415.68 : 527,118.85 = 85,178.51 : x
  2. Step 2: Convert to fraction form
    351,415.68/527,118.85 = 85,178.51/x
  3. Step 3: Cross multiply
    351,415.68x = 527,118.85 × 85,178.51
  4. Step 4: Simplify right side
    351,415.68x = 44,899,198,235.91
  5. Step 5: Solve for x
    x = 44,899,198,235.91/351,415.68
  6. Step 6: Final answer
    x = 127,766.63

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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.