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Finding the Fourth Proportional to 502,141.50, 692,786.70 and 284,320.44

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Solution

The fourth proportional to 502,141.50, 692,786.70 and 284,320.44 is: 392,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,141.50 : 692,786.70 = 284,320.44 : x
  2. Step 2: Convert to fraction form
    502,141.50/692,786.70 = 284,320.44/x
  3. Step 3: Cross multiply
    502,141.50x = 692,786.70 × 284,320.44
  4. Step 4: Simplify right side
    502,141.50x = 196,973,419,370.15
  5. Step 5: Solve for x
    x = 196,973,419,370.15/502,141.50
  6. Step 6: Final answer
    x = 392,266.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.