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Finding the Fourth Proportional to 709,108.44, 978,548.22 and 386,823.48

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Solution

The fourth proportional to 709,108.44, 978,548.22 and 386,823.48 is: 533,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,108.44 : 978,548.22 = 386,823.48 : x
  2. Step 2: Convert to fraction form
    709,108.44/978,548.22 = 386,823.48/x
  3. Step 3: Cross multiply
    709,108.44x = 978,548.22 × 386,823.48
  4. Step 4: Simplify right side
    709,108.44x = 378,525,427,808.21
  5. Step 5: Solve for x
    x = 378,525,427,808.21/709,108.44
  6. Step 6: Final answer
    x = 533,804.71

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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.