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Finding the Fourth Proportional to 257,364, 386,201.52 and 109,620

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Solution

The fourth proportional to 257,364, 386,201.52 and 109,620 is: 164,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,364 : 386,201.52 = 109,620 : x
  2. Step 2: Convert to fraction form
    257,364/386,201.52 = 109,620/x
  3. Step 3: Cross multiply
    257,364x = 386,201.52 × 109,620
  4. Step 4: Simplify right side
    257,364x = 42,335,410,622.40
  5. Step 5: Solve for x
    x = 42,335,410,622.40/257,364
  6. Step 6: Final answer
    x = 164,496.24

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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.