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Finding the Fourth Proportional to 286,503.78, 429,423.49 and 269,896.25

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Solution

The fourth proportional to 286,503.78, 429,423.49 and 269,896.25 is: 404,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,503.78 : 429,423.49 = 269,896.25 : x
  2. Step 2: Convert to fraction form
    286,503.78/429,423.49 = 269,896.25/x
  3. Step 3: Cross multiply
    286,503.78x = 429,423.49 × 269,896.25
  4. Step 4: Simplify right side
    286,503.78x = 115,899,787,167.77
  5. Step 5: Solve for x
    x = 115,899,787,167.77/286,503.78
  6. Step 6: Final answer
    x = 404,531.45

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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.