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Finding the Fourth Proportional to 652,822.20, 978,455.70 and 273,742.20

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Solution

The fourth proportional to 652,822.20, 978,455.70 and 273,742.20 is: 410,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,822.20 : 978,455.70 = 273,742.20 : x
  2. Step 2: Convert to fraction form
    652,822.20/978,455.70 = 273,742.20/x
  3. Step 3: Cross multiply
    652,822.20x = 978,455.70 × 273,742.20
  4. Step 4: Simplify right side
    652,822.20x = 267,844,615,920.54
  5. Step 5: Solve for x
    x = 267,844,615,920.54/652,822.20
  6. Step 6: Final answer
    x = 410,287.24

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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.