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Finding the Fourth Proportional to 502,770.84, 693,627.44 and 287,796.02

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Solution

The fourth proportional to 502,770.84, 693,627.44 and 287,796.02 is: 397,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,770.84 : 693,627.44 = 287,796.02 : x
  2. Step 2: Convert to fraction form
    502,770.84/693,627.44 = 287,796.02/x
  3. Step 3: Cross multiply
    502,770.84x = 693,627.44 × 287,796.02
  4. Step 4: Simplify right side
    502,770.84x = 199,623,216,594.79
  5. Step 5: Solve for x
    x = 199,623,216,594.79/502,770.84
  6. Step 6: Final answer
    x = 397,046.13

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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.