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Finding the Fourth Proportional to 421,598.28, 632,489.76 and 122,091.06

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Solution

The fourth proportional to 421,598.28, 632,489.76 and 122,091.06 is: 183,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,598.28 : 632,489.76 = 122,091.06 : x
  2. Step 2: Convert to fraction form
    421,598.28/632,489.76 = 122,091.06/x
  3. Step 3: Cross multiply
    421,598.28x = 632,489.76 × 122,091.06
  4. Step 4: Simplify right side
    421,598.28x = 77,221,345,237.55
  5. Step 5: Solve for x
    x = 77,221,345,237.55/421,598.28
  6. Step 6: Final answer
    x = 183,163.33

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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.