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Finding the Fourth Proportional to 502,922.45, 694,011.85 and 285,145.77

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Solution

The fourth proportional to 502,922.45, 694,011.85 and 285,145.77 is: 393,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,922.45 : 694,011.85 = 285,145.77 : x
  2. Step 2: Convert to fraction form
    502,922.45/694,011.85 = 285,145.77/x
  3. Step 3: Cross multiply
    502,922.45x = 694,011.85 × 285,145.77
  4. Step 4: Simplify right side
    502,922.45x = 197,894,543,357.38
  5. Step 5: Solve for x
    x = 197,894,543,357.38/502,922.45
  6. Step 6: Final answer
    x = 393,489.18

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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.