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Finding the Fourth Proportional to 257,877.48, 386,816.34 and 80,398.80

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Solution

The fourth proportional to 257,877.48, 386,816.34 and 80,398.80 is: 120,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,877.48 : 386,816.34 = 80,398.80 : x
  2. Step 2: Convert to fraction form
    257,877.48/386,816.34 = 80,398.80/x
  3. Step 3: Cross multiply
    257,877.48x = 386,816.34 × 80,398.80
  4. Step 4: Simplify right side
    257,877.48x = 31,099,569,556.39
  5. Step 5: Solve for x
    x = 31,099,569,556.39/257,877.48
  6. Step 6: Final answer
    x = 120,598.24

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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.