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Finding the Fourth Proportional to 766,978.60, 1,150,457.10 and 346,253.80

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Solution

The fourth proportional to 766,978.60, 1,150,457.10 and 346,253.80 is: 519,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,978.60 : 1,150,457.10 = 346,253.80 : x
  2. Step 2: Convert to fraction form
    766,978.60/1,150,457.10 = 346,253.80/x
  3. Step 3: Cross multiply
    766,978.60x = 1,150,457.10 × 346,253.80
  4. Step 4: Simplify right side
    766,978.60x = 398,350,142,611.98
  5. Step 5: Solve for x
    x = 398,350,142,611.98/766,978.60
  6. Step 6: Final answer
    x = 519,375.82

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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.