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Finding the Fourth Proportional to 286,197.84, 429,121.72 and 136,483.92

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Solution

The fourth proportional to 286,197.84, 429,121.72 and 136,483.92 is: 204,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,197.84 : 429,121.72 = 136,483.92 : x
  2. Step 2: Convert to fraction form
    286,197.84/429,121.72 = 136,483.92/x
  3. Step 3: Cross multiply
    286,197.84x = 429,121.72 × 136,483.92
  4. Step 4: Simplify right side
    286,197.84x = 58,568,214,502.74
  5. Step 5: Solve for x
    x = 58,568,214,502.74/286,197.84
  6. Step 6: Final answer
    x = 204,642.41

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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.