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Finding the Fourth Proportional to 225,468.12, 310,437.85 and 191,406

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Solution

The fourth proportional to 225,468.12, 310,437.85 and 191,406 is: 263,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,468.12 : 310,437.85 = 191,406 : x
  2. Step 2: Convert to fraction form
    225,468.12/310,437.85 = 191,406/x
  3. Step 3: Cross multiply
    225,468.12x = 310,437.85 × 191,406
  4. Step 4: Simplify right side
    225,468.12x = 59,419,667,117.10
  5. Step 5: Solve for x
    x = 59,419,667,117.10/225,468.12
  6. Step 6: Final answer
    x = 263,539.11

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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.