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Finding the Fourth Proportional to 286,199.34, 429,123.97 and 136,485.42

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Solution

The fourth proportional to 286,199.34, 429,123.97 and 136,485.42 is: 204,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,199.34 : 429,123.97 = 136,485.42 : x
  2. Step 2: Convert to fraction form
    286,199.34/429,123.97 = 136,485.42/x
  3. Step 3: Cross multiply
    286,199.34x = 429,123.97 × 136,485.42
  4. Step 4: Simplify right side
    286,199.34x = 58,569,165,277.52
  5. Step 5: Solve for x
    x = 58,569,165,277.52/286,199.34
  6. Step 6: Final answer
    x = 204,644.66

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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.