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Finding the Fourth Proportional to 431,692.47, 647,169.39 and 165,643.92

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Solution

The fourth proportional to 431,692.47, 647,169.39 and 165,643.92 is: 248,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,692.47 : 647,169.39 = 165,643.92 : x
  2. Step 2: Convert to fraction form
    431,692.47/647,169.39 = 165,643.92/x
  3. Step 3: Cross multiply
    431,692.47x = 647,169.39 × 165,643.92
  4. Step 4: Simplify right side
    431,692.47x = 107,199,674,663.61
  5. Step 5: Solve for x
    x = 107,199,674,663.61/431,692.47
  6. Step 6: Final answer
    x = 248,324.17

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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.