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Finding the Fourth Proportional to 412,401.51, 569,120.97 and 231,153.87

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Solution

The fourth proportional to 412,401.51, 569,120.97 and 231,153.87 is: 318,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,401.51 : 569,120.97 = 231,153.87 : x
  2. Step 2: Convert to fraction form
    412,401.51/569,120.97 = 231,153.87/x
  3. Step 3: Cross multiply
    412,401.51x = 569,120.97 × 231,153.87
  4. Step 4: Simplify right side
    412,401.51x = 131,554,514,713.65
  5. Step 5: Solve for x
    x = 131,554,514,713.65/412,401.51
  6. Step 6: Final answer
    x = 318,996.20

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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.