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Finding the Fourth Proportional to 257,960.62, 386,395.80 and 163,142.02

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Solution

The fourth proportional to 257,960.62, 386,395.80 and 163,142.02 is: 244,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,960.62 : 386,395.80 = 163,142.02 : x
  2. Step 2: Convert to fraction form
    257,960.62/386,395.80 = 163,142.02/x
  3. Step 3: Cross multiply
    257,960.62x = 386,395.80 × 163,142.02
  4. Step 4: Simplify right side
    257,960.62x = 63,037,391,331.52
  5. Step 5: Solve for x
    x = 63,037,391,331.52/257,960.62
  6. Step 6: Final answer
    x = 244,368.27

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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.