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Finding the Fourth Proportional to 429,856.80, 644,914.08 and 173,557.44

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Solution

The fourth proportional to 429,856.80, 644,914.08 and 173,557.44 is: 260,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,856.80 : 644,914.08 = 173,557.44 : x
  2. Step 2: Convert to fraction form
    429,856.80/644,914.08 = 173,557.44/x
  3. Step 3: Cross multiply
    429,856.80x = 644,914.08 × 173,557.44
  4. Step 4: Simplify right side
    429,856.80x = 111,929,636,744.76
  5. Step 5: Solve for x
    x = 111,929,636,744.76/429,856.80
  6. Step 6: Final answer
    x = 260,388.20

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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.