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Finding the Fourth Proportional to 502,390.84, 693,259.14 and 287,481.64

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Solution

The fourth proportional to 502,390.84, 693,259.14 and 287,481.64 is: 396,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,390.84 : 693,259.14 = 287,481.64 : x
  2. Step 2: Convert to fraction form
    502,390.84/693,259.14 = 287,481.64/x
  3. Step 3: Cross multiply
    502,390.84x = 693,259.14 × 287,481.64
  4. Step 4: Simplify right side
    502,390.84x = 199,299,274,512.19
  5. Step 5: Solve for x
    x = 199,299,274,512.19/502,390.84
  6. Step 6: Final answer
    x = 396,701.65

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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.