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Finding the Fourth Proportional to 769,857, 1,155,266.64 and 370,539.96

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Solution

The fourth proportional to 769,857, 1,155,266.64 and 370,539.96 is: 556,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,857 : 1,155,266.64 = 370,539.96 : x
  2. Step 2: Convert to fraction form
    769,857/1,155,266.64 = 370,539.96/x
  3. Step 3: Cross multiply
    769,857x = 1,155,266.64 × 370,539.96
  4. Step 4: Simplify right side
    769,857x = 428,072,454,574.93
  5. Step 5: Solve for x
    x = 428,072,454,574.93/769,857
  6. Step 6: Final answer
    x = 556,041.52

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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.