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Finding the Fourth Proportional to 569,116.31, 785,382.56 and 310,993.26

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Solution

The fourth proportional to 569,116.31, 785,382.56 and 310,993.26 is: 429,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,116.31 : 785,382.56 = 310,993.26 : x
  2. Step 2: Convert to fraction form
    569,116.31/785,382.56 = 310,993.26/x
  3. Step 3: Cross multiply
    569,116.31x = 785,382.56 × 310,993.26
  4. Step 4: Simplify right side
    569,116.31x = 244,248,681,126.58
  5. Step 5: Solve for x
    x = 244,248,681,126.58/569,116.31
  6. Step 6: Final answer
    x = 429,171.82

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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.