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Finding the Fourth Proportional to 412,868.34, 569,712.69 and 231,542.91

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Solution

The fourth proportional to 412,868.34, 569,712.69 and 231,542.91 is: 319,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,868.34 : 569,712.69 = 231,542.91 : x
  2. Step 2: Convert to fraction form
    412,868.34/569,712.69 = 231,542.91/x
  3. Step 3: Cross multiply
    412,868.34x = 569,712.69 × 231,542.91
  4. Step 4: Simplify right side
    412,868.34x = 131,912,934,106.53
  5. Step 5: Solve for x
    x = 131,912,934,106.53/412,868.34
  6. Step 6: Final answer
    x = 319,503.63

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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.