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Finding the Fourth Proportional to 326,036.34, 489,056.20 and 148,419.14

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Solution

The fourth proportional to 326,036.34, 489,056.20 and 148,419.14 is: 222,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,036.34 : 489,056.20 = 148,419.14 : x
  2. Step 2: Convert to fraction form
    326,036.34/489,056.20 = 148,419.14/x
  3. Step 3: Cross multiply
    326,036.34x = 489,056.20 × 148,419.14
  4. Step 4: Simplify right side
    326,036.34x = 72,585,300,615.67
  5. Step 5: Solve for x
    x = 72,585,300,615.67/326,036.34
  6. Step 6: Final answer
    x = 222,629.48

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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.