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Finding the Fourth Proportional to 421,837.54, 632,805.62 and 148,199.75

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Solution

The fourth proportional to 421,837.54, 632,805.62 and 148,199.75 is: 222,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,837.54 : 632,805.62 = 148,199.75 : x
  2. Step 2: Convert to fraction form
    421,837.54/632,805.62 = 148,199.75/x
  3. Step 3: Cross multiply
    421,837.54x = 632,805.62 × 148,199.75
  4. Step 4: Simplify right side
    421,837.54x = 93,781,634,682.60
  5. Step 5: Solve for x
    x = 93,781,634,682.60/421,837.54
  6. Step 6: Final answer
    x = 222,316.95

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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.