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Finding the Fourth Proportional to 257,698.86, 386,584.74 and 80,223.81

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Solution

The fourth proportional to 257,698.86, 386,584.74 and 80,223.81 is: 120,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,698.86 : 386,584.74 = 80,223.81 : x
  2. Step 2: Convert to fraction form
    257,698.86/386,584.74 = 80,223.81/x
  3. Step 3: Cross multiply
    257,698.86x = 386,584.74 × 80,223.81
  4. Step 4: Simplify right side
    257,698.86x = 31,013,300,730.66
  5. Step 5: Solve for x
    x = 31,013,300,730.66/257,698.86
  6. Step 6: Final answer
    x = 120,347.06

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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.