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Finding the Fourth Proportional to 709,170.37, 978,653.82 and 386,880.48

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Solution

The fourth proportional to 709,170.37, 978,653.82 and 386,880.48 is: 533,894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,170.37 : 978,653.82 = 386,880.48 : x
  2. Step 2: Convert to fraction form
    709,170.37/978,653.82 = 386,880.48/x
  3. Step 3: Cross multiply
    709,170.37x = 978,653.82 × 386,880.48
  4. Step 4: Simplify right side
    709,170.37x = 378,622,059,635.43
  5. Step 5: Solve for x
    x = 378,622,059,635.43/709,170.37
  6. Step 6: Final answer
    x = 533,894.36

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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.