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Finding the Fourth Proportional to 680,809.20, 1,021,213.80 and 382,210.80

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Solution

The fourth proportional to 680,809.20, 1,021,213.80 and 382,210.80 is: 573,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,809.20 : 1,021,213.80 = 382,210.80 : x
  2. Step 2: Convert to fraction form
    680,809.20/1,021,213.80 = 382,210.80/x
  3. Step 3: Cross multiply
    680,809.20x = 1,021,213.80 × 382,210.80
  4. Step 4: Simplify right side
    680,809.20x = 390,318,943,469.04
  5. Step 5: Solve for x
    x = 390,318,943,469.04/680,809.20
  6. Step 6: Final answer
    x = 573,316.20

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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.