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Finding the Fourth Proportional to 489,705.40, 734,558.10 and 321,743.80

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Solution

The fourth proportional to 489,705.40, 734,558.10 and 321,743.80 is: 482,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,705.40 : 734,558.10 = 321,743.80 : x
  2. Step 2: Convert to fraction form
    489,705.40/734,558.10 = 321,743.80/x
  3. Step 3: Cross multiply
    489,705.40x = 734,558.10 × 321,743.80
  4. Step 4: Simplify right side
    489,705.40x = 236,339,514,414.78
  5. Step 5: Solve for x
    x = 236,339,514,414.78/489,705.40
  6. Step 6: Final answer
    x = 482,615.70

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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.