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Finding the Fourth Proportional to 768,269.80, 1,152,404.70 and 324,980.20

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Solution

The fourth proportional to 768,269.80, 1,152,404.70 and 324,980.20 is: 487,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,269.80 : 1,152,404.70 = 324,980.20 : x
  2. Step 2: Convert to fraction form
    768,269.80/1,152,404.70 = 324,980.20/x
  3. Step 3: Cross multiply
    768,269.80x = 1,152,404.70 × 324,980.20
  4. Step 4: Simplify right side
    768,269.80x = 374,508,709,886.94
  5. Step 5: Solve for x
    x = 374,508,709,886.94/768,269.80
  6. Step 6: Final answer
    x = 487,470.30

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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.