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Finding the Fourth Proportional to 429,816.78, 644,853.96 and 173,517.39

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Solution

The fourth proportional to 429,816.78, 644,853.96 and 173,517.39 is: 260,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,816.78 : 644,853.96 = 173,517.39 : x
  2. Step 2: Convert to fraction form
    429,816.78/644,853.96 = 173,517.39/x
  3. Step 3: Cross multiply
    429,816.78x = 644,853.96 × 173,517.39
  4. Step 4: Simplify right side
    429,816.78x = 111,893,376,070.36
  5. Step 5: Solve for x
    x = 111,893,376,070.36/429,816.78
  6. Step 6: Final answer
    x = 260,328.08

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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.