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Finding the Fourth Proportional to 378,692.96, 522,502.85 and 231,480.11

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Solution

The fourth proportional to 378,692.96, 522,502.85 and 231,480.11 is: 319,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,692.96 : 522,502.85 = 231,480.11 : x
  2. Step 2: Convert to fraction form
    378,692.96/522,502.85 = 231,480.11/x
  3. Step 3: Cross multiply
    378,692.96x = 522,502.85 × 231,480.11
  4. Step 4: Simplify right side
    378,692.96x = 120,949,019,078.27
  5. Step 5: Solve for x
    x = 120,949,019,078.27/378,692.96
  6. Step 6: Final answer
    x = 319,385.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.