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Finding the Fourth Proportional to 768,893.67, 1,061,105.47 and 442,206.90

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Solution

The fourth proportional to 768,893.67, 1,061,105.47 and 442,206.90 is: 610,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,893.67 : 1,061,105.47 = 442,206.90 : x
  2. Step 2: Convert to fraction form
    768,893.67/1,061,105.47 = 442,206.90/x
  3. Step 3: Cross multiply
    768,893.67x = 1,061,105.47 × 442,206.90
  4. Step 4: Simplify right side
    768,893.67x = 469,228,161,843.64
  5. Step 5: Solve for x
    x = 469,228,161,843.64/768,893.67
  6. Step 6: Final answer
    x = 610,264.05

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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.