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Finding the Fourth Proportional to 709,057.80, 978,463.80 and 386,765.28

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Solution

The fourth proportional to 709,057.80, 978,463.80 and 386,765.28 is: 533,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,057.80 : 978,463.80 = 386,765.28 : x
  2. Step 2: Convert to fraction form
    709,057.80/978,463.80 = 386,765.28/x
  3. Step 3: Cross multiply
    709,057.80x = 978,463.80 × 386,765.28
  4. Step 4: Simplify right side
    709,057.80x = 378,435,825,576.86
  5. Step 5: Solve for x
    x = 378,435,825,576.86/709,057.80
  6. Step 6: Final answer
    x = 533,716.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.