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Finding the Fourth Proportional to 502,375.34, 693,237.75 and 287,466.14

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Solution

The fourth proportional to 502,375.34, 693,237.75 and 287,466.14 is: 396,680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,375.34 : 693,237.75 = 287,466.14 : x
  2. Step 2: Convert to fraction form
    502,375.34/693,237.75 = 287,466.14/x
  3. Step 3: Cross multiply
    502,375.34x = 693,237.75 × 287,466.14
  4. Step 4: Simplify right side
    502,375.34x = 199,282,380,094.79
  5. Step 5: Solve for x
    x = 199,282,380,094.79/502,375.34
  6. Step 6: Final answer
    x = 396,680.26

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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.