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Finding the Fourth Proportional to 569,331.45, 785,694.11 and 311,222.66

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Solution

The fourth proportional to 569,331.45, 785,694.11 and 311,222.66 is: 429,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,331.45 : 785,694.11 = 311,222.66 : x
  2. Step 2: Convert to fraction form
    569,331.45/785,694.11 = 311,222.66/x
  3. Step 3: Cross multiply
    569,331.45x = 785,694.11 × 311,222.66
  4. Step 4: Simplify right side
    569,331.45x = 244,525,805,375.95
  5. Step 5: Solve for x
    x = 244,525,805,375.95/569,331.45
  6. Step 6: Final answer
    x = 429,496.40

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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.