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Finding the Fourth Proportional to 412,783.72, 569,593.86 and 231,496

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Solution

The fourth proportional to 412,783.72, 569,593.86 and 231,496 is: 319,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,783.72 : 569,593.86 = 231,496 : x
  2. Step 2: Convert to fraction form
    412,783.72/569,593.86 = 231,496/x
  3. Step 3: Cross multiply
    412,783.72x = 569,593.86 × 231,496
  4. Step 4: Simplify right side
    412,783.72x = 131,858,700,214.56
  5. Step 5: Solve for x
    x = 131,858,700,214.56/412,783.72
  6. Step 6: Final answer
    x = 319,437.74

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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.