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Finding the Fourth Proportional to 287,221.20, 430,831.80 and 109,636.80

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Solution

The fourth proportional to 287,221.20, 430,831.80 and 109,636.80 is: 164,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,221.20 : 430,831.80 = 109,636.80 : x
  2. Step 2: Convert to fraction form
    287,221.20/430,831.80 = 109,636.80/x
  3. Step 3: Cross multiply
    287,221.20x = 430,831.80 × 109,636.80
  4. Step 4: Simplify right side
    287,221.20x = 47,235,019,890.24
  5. Step 5: Solve for x
    x = 47,235,019,890.24/287,221.20
  6. Step 6: Final answer
    x = 164,455.20

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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.