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Finding the Fourth Proportional to 502,530.44, 693,540.78 and 287,701.16

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Solution

The fourth proportional to 502,530.44, 693,540.78 and 287,701.16 is: 397,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,530.44 : 693,540.78 = 287,701.16 : x
  2. Step 2: Convert to fraction form
    502,530.44/693,540.78 = 287,701.16/x
  3. Step 3: Cross multiply
    502,530.44x = 693,540.78 × 287,701.16
  4. Step 4: Simplify right side
    502,530.44x = 199,532,486,913.31
  5. Step 5: Solve for x
    x = 199,532,486,913.31/502,530.44
  6. Step 6: Final answer
    x = 397,055.52

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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.