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Finding the Fourth Proportional to 502,988.94, 694,121.30 and 285,238.77

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Solution

The fourth proportional to 502,988.94, 694,121.30 and 285,238.77 is: 393,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,988.94 : 694,121.30 = 285,238.77 : x
  2. Step 2: Convert to fraction form
    502,988.94/694,121.30 = 285,238.77/x
  3. Step 3: Cross multiply
    502,988.94x = 694,121.30 × 285,238.77
  4. Step 4: Simplify right side
    502,988.94x = 197,990,302,883.30
  5. Step 5: Solve for x
    x = 197,990,302,883.30/502,988.94
  6. Step 6: Final answer
    x = 393,627.55

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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.