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Finding the Fourth Proportional to 680,767.80, 1,021,262.53 and 201,044.15

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Solution

The fourth proportional to 680,767.80, 1,021,262.53 and 201,044.15 is: 301,598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,767.80 : 1,021,262.53 = 201,044.15 : x
  2. Step 2: Convert to fraction form
    680,767.80/1,021,262.53 = 201,044.15/x
  3. Step 3: Cross multiply
    680,767.80x = 1,021,262.53 × 201,044.15
  4. Step 4: Simplify right side
    680,767.80x = 205,318,857,270.70
  5. Step 5: Solve for x
    x = 205,318,857,270.70/680,767.80
  6. Step 6: Final answer
    x = 301,598.96

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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.