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Finding the Fourth Proportional to 378,035.40, 566,178.30 and 259,062.60

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Solution

The fourth proportional to 378,035.40, 566,178.30 and 259,062.60 is: 387,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,035.40 : 566,178.30 = 259,062.60 : x
  2. Step 2: Convert to fraction form
    378,035.40/566,178.30 = 259,062.60/x
  3. Step 3: Cross multiply
    378,035.40x = 566,178.30 × 259,062.60
  4. Step 4: Simplify right side
    378,035.40x = 146,675,622,461.58
  5. Step 5: Solve for x
    x = 146,675,622,461.58/378,035.40
  6. Step 6: Final answer
    x = 387,994.41

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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.