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Finding the Fourth Proportional to 502,994.94, 694,129.56 and 285,244.74

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Solution

The fourth proportional to 502,994.94, 694,129.56 and 285,244.74 is: 393,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,994.94 : 694,129.56 = 285,244.74 : x
  2. Step 2: Convert to fraction form
    502,994.94/694,129.56 = 285,244.74/x
  3. Step 3: Cross multiply
    502,994.94x = 694,129.56 × 285,244.74
  4. Step 4: Simplify right side
    502,994.94x = 197,996,805,868.51
  5. Step 5: Solve for x
    x = 197,996,805,868.51/502,994.94
  6. Step 6: Final answer
    x = 393,635.78

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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.