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Finding the Fourth Proportional to 502,656, 693,665.28 and 287,867.13

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Solution

The fourth proportional to 502,656, 693,665.28 and 287,867.13 is: 397,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,656 : 693,665.28 = 287,867.13 : x
  2. Step 2: Convert to fraction form
    502,656/693,665.28 = 287,867.13/x
  3. Step 3: Cross multiply
    502,656x = 693,665.28 × 287,867.13
  4. Step 4: Simplify right side
    502,656x = 199,683,433,334.25
  5. Step 5: Solve for x
    x = 199,683,433,334.25/502,656
  6. Step 6: Final answer
    x = 397,256.64

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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.