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Finding the Fourth Proportional to 286,049.81, 428,908.57 and 108,459.95

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Solution

The fourth proportional to 286,049.81, 428,908.57 and 108,459.95 is: 162,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,049.81 : 428,908.57 = 108,459.95 : x
  2. Step 2: Convert to fraction form
    286,049.81/428,908.57 = 108,459.95/x
  3. Step 3: Cross multiply
    286,049.81x = 428,908.57 × 108,459.95
  4. Step 4: Simplify right side
    286,049.81x = 46,519,399,641.08
  5. Step 5: Solve for x
    x = 46,519,399,641.08/286,049.81
  6. Step 6: Final answer
    x = 162,626.92

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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.