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Finding the Fourth Proportional to 422,168.64, 633,323.44 and 155,929.76

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Solution

The fourth proportional to 422,168.64, 633,323.44 and 155,929.76 is: 233,920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,168.64 : 633,323.44 = 155,929.76 : x
  2. Step 2: Convert to fraction form
    422,168.64/633,323.44 = 155,929.76/x
  3. Step 3: Cross multiply
    422,168.64x = 633,323.44 × 155,929.76
  4. Step 4: Simplify right side
    422,168.64x = 98,753,972,001.57
  5. Step 5: Solve for x
    x = 98,753,972,001.57/422,168.64
  6. Step 6: Final answer
    x = 233,920.67

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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.