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Finding the Fourth Proportional to 287,570.70, 431,356.05 and 77,229.90

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Solution

The fourth proportional to 287,570.70, 431,356.05 and 77,229.90 is: 115,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,570.70 : 431,356.05 = 77,229.90 : x
  2. Step 2: Convert to fraction form
    287,570.70/431,356.05 = 77,229.90/x
  3. Step 3: Cross multiply
    287,570.70x = 431,356.05 × 77,229.90
  4. Step 4: Simplify right side
    287,570.70x = 33,313,584,605.90
  5. Step 5: Solve for x
    x = 33,313,584,605.90/287,570.70
  6. Step 6: Final answer
    x = 115,844.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.