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Finding the Fourth Proportional to 769,494, 1,061,881.92 and 429,965.04

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Solution

The fourth proportional to 769,494, 1,061,881.92 and 429,965.04 is: 593,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,494 : 1,061,881.92 = 429,965.04 : x
  2. Step 2: Convert to fraction form
    769,494/1,061,881.92 = 429,965.04/x
  3. Step 3: Cross multiply
    769,494x = 1,061,881.92 × 429,965.04
  4. Step 4: Simplify right side
    769,494x = 456,572,102,208.08
  5. Step 5: Solve for x
    x = 456,572,102,208.08/769,494
  6. Step 6: Final answer
    x = 593,340.69

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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.