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Finding the Fourth Proportional to 378,314.61, 567,639.06 and 198,357.02

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Solution

The fourth proportional to 378,314.61, 567,639.06 and 198,357.02 is: 297,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,314.61 : 567,639.06 = 198,357.02 : x
  2. Step 2: Convert to fraction form
    378,314.61/567,639.06 = 198,357.02/x
  3. Step 3: Cross multiply
    378,314.61x = 567,639.06 × 198,357.02
  4. Step 4: Simplify right side
    378,314.61x = 112,595,192,377.20
  5. Step 5: Solve for x
    x = 112,595,192,377.20/378,314.61
  6. Step 6: Final answer
    x = 297,623.17

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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.