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Finding the Fourth Proportional to 569,331.95, 785,694.80 and 311,223.16

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Solution

The fourth proportional to 569,331.95, 785,694.80 and 311,223.16 is: 429,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,331.95 : 785,694.80 = 311,223.16 : x
  2. Step 2: Convert to fraction form
    569,331.95/785,694.80 = 311,223.16/x
  3. Step 3: Cross multiply
    569,331.95x = 785,694.80 × 311,223.16
  4. Step 4: Simplify right side
    569,331.95x = 244,526,418,451.57
  5. Step 5: Solve for x
    x = 244,526,418,451.57/569,331.95
  6. Step 6: Final answer
    x = 429,497.09

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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.