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Finding the Fourth Proportional to 768,896.67, 1,061,109.62 and 442,209.90

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Solution

The fourth proportional to 768,896.67, 1,061,109.62 and 442,209.90 is: 610,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,896.67 : 1,061,109.62 = 442,209.90 : x
  2. Step 2: Convert to fraction form
    768,896.67/1,061,109.62 = 442,209.90/x
  3. Step 3: Cross multiply
    768,896.67x = 1,061,109.62 × 442,209.90
  4. Step 4: Simplify right side
    768,896.67x = 469,233,178,949.24
  5. Step 5: Solve for x
    x = 469,233,178,949.24/768,896.67
  6. Step 6: Final answer
    x = 610,268.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.