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Finding the Fourth Proportional to 687,796.38, 948,499.38 and 442,530.78

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Solution

The fourth proportional to 687,796.38, 948,499.38 and 442,530.78 is: 610,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,796.38 : 948,499.38 = 442,530.78 : x
  2. Step 2: Convert to fraction form
    687,796.38/948,499.38 = 442,530.78/x
  3. Step 3: Cross multiply
    687,796.38x = 948,499.38 × 442,530.78
  4. Step 4: Simplify right side
    687,796.38x = 419,740,170,460.92
  5. Step 5: Solve for x
    x = 419,740,170,460.92/687,796.38
  6. Step 6: Final answer
    x = 610,268.07

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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.