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Finding the Fourth Proportional to 257,913.30, 386,979.30 and 163,216.20

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Solution

The fourth proportional to 257,913.30, 386,979.30 and 163,216.20 is: 244,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,913.30 : 386,979.30 = 163,216.20 : x
  2. Step 2: Convert to fraction form
    257,913.30/386,979.30 = 163,216.20/x
  3. Step 3: Cross multiply
    257,913.30x = 386,979.30 × 163,216.20
  4. Step 4: Simplify right side
    257,913.30x = 63,161,290,824.66
  5. Step 5: Solve for x
    x = 63,161,290,824.66/257,913.30
  6. Step 6: Final answer
    x = 244,893.50

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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.