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Finding the Fourth Proportional to 286,197.52, 429,368.78 and 202,121.95

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Solution

The fourth proportional to 286,197.52, 429,368.78 and 202,121.95 is: 303,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,197.52 : 429,368.78 = 202,121.95 : x
  2. Step 2: Convert to fraction form
    286,197.52/429,368.78 = 202,121.95/x
  3. Step 3: Cross multiply
    286,197.52x = 429,368.78 × 202,121.95
  4. Step 4: Simplify right side
    286,197.52x = 86,784,855,082.72
  5. Step 5: Solve for x
    x = 86,784,855,082.72/286,197.52
  6. Step 6: Final answer
    x = 303,234.13

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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.