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Finding the Fourth Proportional to 502,902.42, 693,835.49 and 285,087.74

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Solution

The fourth proportional to 502,902.42, 693,835.49 and 285,087.74 is: 393,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,902.42 : 693,835.49 = 285,087.74 : x
  2. Step 2: Convert to fraction form
    502,902.42/693,835.49 = 285,087.74/x
  3. Step 3: Cross multiply
    502,902.42x = 693,835.49 × 285,087.74
  4. Step 4: Simplify right side
    502,902.42x = 197,803,986,881.28
  5. Step 5: Solve for x
    x = 197,803,986,881.28/502,902.42
  6. Step 6: Final answer
    x = 393,324.79

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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.