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Finding the Fourth Proportional to 257,857.94, 386,721.30 and 80,331.86

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Solution

The fourth proportional to 257,857.94, 386,721.30 and 80,331.86 is: 120,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,857.94 : 386,721.30 = 80,331.86 : x
  2. Step 2: Convert to fraction form
    257,857.94/386,721.30 = 80,331.86/x
  3. Step 3: Cross multiply
    257,857.94x = 386,721.30 × 80,331.86
  4. Step 4: Simplify right side
    257,857.94x = 31,066,041,330.62
  5. Step 5: Solve for x
    x = 31,066,041,330.62/257,857.94
  6. Step 6: Final answer
    x = 120,477.35

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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.