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Finding the Fourth Proportional to 502,867.09, 693,898.41 and 287,994.34

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Solution

The fourth proportional to 502,867.09, 693,898.41 and 287,994.34 is: 397,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,867.09 : 693,898.41 = 287,994.34 : x
  2. Step 2: Convert to fraction form
    502,867.09/693,898.41 = 287,994.34/x
  3. Step 3: Cross multiply
    502,867.09x = 693,898.41 × 287,994.34
  4. Step 4: Simplify right side
    502,867.09x = 199,838,814,615.00
  5. Step 5: Solve for x
    x = 199,838,814,615.00/502,867.09
  6. Step 6: Final answer
    x = 397,398.87

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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.