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Finding the Fourth Proportional to 708,982.67, 978,395.49 and 386,691.77

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Solution

The fourth proportional to 708,982.67, 978,395.49 and 386,691.77 is: 533,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,982.67 : 978,395.49 = 386,691.77 : x
  2. Step 2: Convert to fraction form
    708,982.67/978,395.49 = 386,691.77/x
  3. Step 3: Cross multiply
    708,982.67x = 978,395.49 × 386,691.77
  4. Step 4: Simplify right side
    708,982.67x = 378,337,486,234.11
  5. Step 5: Solve for x
    x = 378,337,486,234.11/708,982.67
  6. Step 6: Final answer
    x = 533,634.32

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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.