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Finding the Fourth Proportional to 769,978.88, 1,154,419.68 and 296,264.96

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Solution

The fourth proportional to 769,978.88, 1,154,419.68 and 296,264.96 is: 444,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,978.88 : 1,154,419.68 = 296,264.96 : x
  2. Step 2: Convert to fraction form
    769,978.88/1,154,419.68 = 296,264.96/x
  3. Step 3: Cross multiply
    769,978.88x = 1,154,419.68 × 296,264.96
  4. Step 4: Simplify right side
    769,978.88x = 342,014,100,318.41
  5. Step 5: Solve for x
    x = 342,014,100,318.41/769,978.88
  6. Step 6: Final answer
    x = 444,186.34

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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.