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Finding the Fourth Proportional to 680,857.20, 1,021,285.80 and 428,914.80

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Solution

The fourth proportional to 680,857.20, 1,021,285.80 and 428,914.80 is: 643,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,857.20 : 1,021,285.80 = 428,914.80 : x
  2. Step 2: Convert to fraction form
    680,857.20/1,021,285.80 = 428,914.80/x
  3. Step 3: Cross multiply
    680,857.20x = 1,021,285.80 × 428,914.80
  4. Step 4: Simplify right side
    680,857.20x = 438,044,594,649.84
  5. Step 5: Solve for x
    x = 438,044,594,649.84/680,857.20
  6. Step 6: Final answer
    x = 643,372.20

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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.