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Finding the Fourth Proportional to 257,542.04, 386,280.24 and 99,662.48

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Solution

The fourth proportional to 257,542.04, 386,280.24 and 99,662.48 is: 149,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,542.04 : 386,280.24 = 99,662.48 : x
  2. Step 2: Convert to fraction form
    257,542.04/386,280.24 = 99,662.48/x
  3. Step 3: Cross multiply
    257,542.04x = 386,280.24 × 99,662.48
  4. Step 4: Simplify right side
    257,542.04x = 38,497,646,693.40
  5. Step 5: Solve for x
    x = 38,497,646,693.40/257,542.04
  6. Step 6: Final answer
    x = 149,481.02

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1.5x scale

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.