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Finding the Fourth Proportional to 709,137.75, 978,610.10 and 386,849.13

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Solution

The fourth proportional to 709,137.75, 978,610.10 and 386,849.13 is: 533,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,137.75 : 978,610.10 = 386,849.13 : x
  2. Step 2: Convert to fraction form
    709,137.75/978,610.10 = 386,849.13/x
  3. Step 3: Cross multiply
    709,137.75x = 978,610.10 × 386,849.13
  4. Step 4: Simplify right side
    709,137.75x = 378,574,465,794.21
  5. Step 5: Solve for x
    x = 378,574,465,794.21/709,137.75
  6. Step 6: Final answer
    x = 533,851.80

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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.