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Finding the Fourth Proportional to 768,494.76, 1,152,717.51 and 347,770.62

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Solution

The fourth proportional to 768,494.76, 1,152,717.51 and 347,770.62 is: 521,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,494.76 : 1,152,717.51 = 347,770.62 : x
  2. Step 2: Convert to fraction form
    768,494.76/1,152,717.51 = 347,770.62/x
  3. Step 3: Cross multiply
    768,494.76x = 1,152,717.51 × 347,770.62
  4. Step 4: Simplify right side
    768,494.76x = 400,881,283,137.56
  5. Step 5: Solve for x
    x = 400,881,283,137.56/768,494.76
  6. Step 6: Final answer
    x = 521,644.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.