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Finding the Fourth Proportional to 497,649.62, 686,748.24 and 276,878.39

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Solution

The fourth proportional to 497,649.62, 686,748.24 and 276,878.39 is: 382,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,649.62 : 686,748.24 = 276,878.39 : x
  2. Step 2: Convert to fraction form
    497,649.62/686,748.24 = 276,878.39/x
  3. Step 3: Cross multiply
    497,649.62x = 686,748.24 × 276,878.39
  4. Step 4: Simplify right side
    497,649.62x = 190,145,743,592.79
  5. Step 5: Solve for x
    x = 190,145,743,592.79/497,649.62
  6. Step 6: Final answer
    x = 382,087.59

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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.