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Finding the Fourth Proportional to 287,434.56, 431,131.79 and 107,485.77

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Solution

The fourth proportional to 287,434.56, 431,131.79 and 107,485.77 is: 161,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,434.56 : 431,131.79 = 107,485.77 : x
  2. Step 2: Convert to fraction form
    287,434.56/431,131.79 = 107,485.77/x
  3. Step 3: Cross multiply
    287,434.56x = 431,131.79 × 107,485.77
  4. Step 4: Simplify right side
    287,434.56x = 46,340,531,882.20
  5. Step 5: Solve for x
    x = 46,340,531,882.20/287,434.56
  6. Step 6: Final answer
    x = 161,221.16

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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.