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Finding the Fourth Proportional to 287,175.66, 430,793.00 and 109,831.83

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Solution

The fourth proportional to 287,175.66, 430,793.00 and 109,831.83 is: 164,759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,175.66 : 430,793.00 = 109,831.83 : x
  2. Step 2: Convert to fraction form
    287,175.66/430,793.00 = 109,831.83/x
  3. Step 3: Cross multiply
    287,175.66x = 430,793.00 × 109,831.83
  4. Step 4: Simplify right side
    287,175.66x = 47,314,782,992.03
  5. Step 5: Solve for x
    x = 47,314,782,992.03/287,175.66
  6. Step 6: Final answer
    x = 164,759.03

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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.