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Finding the Fourth Proportional to 489,135.60, 733,703.40 and 223,415.10

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Solution

The fourth proportional to 489,135.60, 733,703.40 and 223,415.10 is: 335,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,135.60 : 733,703.40 = 223,415.10 : x
  2. Step 2: Convert to fraction form
    489,135.60/733,703.40 = 223,415.10/x
  3. Step 3: Cross multiply
    489,135.60x = 733,703.40 × 223,415.10
  4. Step 4: Simplify right side
    489,135.60x = 163,920,418,481.34
  5. Step 5: Solve for x
    x = 163,920,418,481.34/489,135.60
  6. Step 6: Final answer
    x = 335,122.65

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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.