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Finding the Fourth Proportional to 422,030.42, 633,146.34 and 137,721.50

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Solution

The fourth proportional to 422,030.42, 633,146.34 and 137,721.50 is: 206,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,030.42 : 633,146.34 = 137,721.50 : x
  2. Step 2: Convert to fraction form
    422,030.42/633,146.34 = 137,721.50/x
  3. Step 3: Cross multiply
    422,030.42x = 633,146.34 × 137,721.50
  4. Step 4: Simplify right side
    422,030.42x = 87,197,865,170.06
  5. Step 5: Solve for x
    x = 87,197,865,170.06/422,030.42
  6. Step 6: Final answer
    x = 206,615.12

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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.