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Finding the Fourth Proportional to 489,708.30, 735,145.65 and 276,645.90

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Solution

The fourth proportional to 489,708.30, 735,145.65 and 276,645.90 is: 415,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,708.30 : 735,145.65 = 276,645.90 : x
  2. Step 2: Convert to fraction form
    489,708.30/735,145.65 = 276,645.90/x
  3. Step 3: Cross multiply
    489,708.30x = 735,145.65 × 276,645.90
  4. Step 4: Simplify right side
    489,708.30x = 203,375,029,975.34
  5. Step 5: Solve for x
    x = 203,375,029,975.34/489,708.30
  6. Step 6: Final answer
    x = 415,298.31

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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.