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Finding the Fourth Proportional to 431,141.76, 646,490.88 and 231,630.24

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Solution

The fourth proportional to 431,141.76, 646,490.88 and 231,630.24 is: 347,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,141.76 : 646,490.88 = 231,630.24 : x
  2. Step 2: Convert to fraction form
    431,141.76/646,490.88 = 231,630.24/x
  3. Step 3: Cross multiply
    431,141.76x = 646,490.88 × 231,630.24
  4. Step 4: Simplify right side
    431,141.76x = 149,746,837,692.21
  5. Step 5: Solve for x
    x = 149,746,837,692.21/431,141.76
  6. Step 6: Final answer
    x = 347,326.22

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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.