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Finding the Fourth Proportional to 286,972.93, 429,866.47 and 168,286.87

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Solution

The fourth proportional to 286,972.93, 429,866.47 and 168,286.87 is: 252,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,972.93 : 429,866.47 = 168,286.87 : x
  2. Step 2: Convert to fraction form
    286,972.93/429,866.47 = 168,286.87/x
  3. Step 3: Cross multiply
    286,972.93x = 429,866.47 × 168,286.87
  4. Step 4: Simplify right side
    286,972.93x = 72,340,882,754.25
  5. Step 5: Solve for x
    x = 72,340,882,754.25/286,972.93
  6. Step 6: Final answer
    x = 252,082.60

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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.