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Finding the Fourth Proportional to 257,976.36, 386,410.50 and 198,373.32

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Solution

The fourth proportional to 257,976.36, 386,410.50 and 198,373.32 is: 297,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,976.36 : 386,410.50 = 198,373.32 : x
  2. Step 2: Convert to fraction form
    257,976.36/386,410.50 = 198,373.32/x
  3. Step 3: Cross multiply
    257,976.36x = 386,410.50 × 198,373.32
  4. Step 4: Simplify right side
    257,976.36x = 76,653,533,767.86
  5. Step 5: Solve for x
    x = 76,653,533,767.86/257,976.36
  6. Step 6: Final answer
    x = 297,133.95

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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.