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Finding the Fourth Proportional to 652,224.40, 978,336.60 and 278,976.40

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Solution

The fourth proportional to 652,224.40, 978,336.60 and 278,976.40 is: 418,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,224.40 : 978,336.60 = 278,976.40 : x
  2. Step 2: Convert to fraction form
    652,224.40/978,336.60 = 278,976.40/x
  3. Step 3: Cross multiply
    652,224.40x = 978,336.60 × 278,976.40
  4. Step 4: Simplify right side
    652,224.40x = 272,932,822,656.24
  5. Step 5: Solve for x
    x = 272,932,822,656.24/652,224.40
  6. Step 6: Final answer
    x = 418,464.60

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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.