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Finding the Fourth Proportional to 412,515.80, 569,298.11 and 231,227.78

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Solution

The fourth proportional to 412,515.80, 569,298.11 and 231,227.78 is: 319,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,515.80 : 569,298.11 = 231,227.78 : x
  2. Step 2: Convert to fraction form
    412,515.80/569,298.11 = 231,227.78/x
  3. Step 3: Cross multiply
    412,515.80x = 569,298.11 × 231,227.78
  4. Step 4: Simplify right side
    412,515.80x = 131,637,534,130.87
  5. Step 5: Solve for x
    x = 131,637,534,130.87/412,515.80
  6. Step 6: Final answer
    x = 319,109.08

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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.