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Finding the Fourth Proportional to 769,807.80, 1,154,381.42 and 264,419.64

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Solution

The fourth proportional to 769,807.80, 1,154,381.42 and 264,419.64 is: 396,516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,807.80 : 1,154,381.42 = 264,419.64 : x
  2. Step 2: Convert to fraction form
    769,807.80/1,154,381.42 = 264,419.64/x
  3. Step 3: Cross multiply
    769,807.80x = 1,154,381.42 × 264,419.64
  4. Step 4: Simplify right side
    769,807.80x = 305,241,120,160.14
  5. Step 5: Solve for x
    x = 305,241,120,160.14/769,807.80
  6. Step 6: Final answer
    x = 396,516.01

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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.