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Finding the Fourth Proportional to 489,749.76, 733,924.80 and 278,952.48

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Solution

The fourth proportional to 489,749.76, 733,924.80 and 278,952.48 is: 418,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,749.76 : 733,924.80 = 278,952.48 : x
  2. Step 2: Convert to fraction form
    489,749.76/733,924.80 = 278,952.48/x
  3. Step 3: Cross multiply
    489,749.76x = 733,924.80 × 278,952.48
  4. Step 4: Simplify right side
    489,749.76x = 204,730,143,093.50
  5. Step 5: Solve for x
    x = 204,730,143,093.50/489,749.76
  6. Step 6: Final answer
    x = 418,030.10

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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.