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Finding the Fourth Proportional to 326,031.36, 489,052.16 and 148,531.20

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Solution

The fourth proportional to 326,031.36, 489,052.16 and 148,531.20 is: 222,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,031.36 : 489,052.16 = 148,531.20 : x
  2. Step 2: Convert to fraction form
    326,031.36/489,052.16 = 148,531.20/x
  3. Step 3: Cross multiply
    326,031.36x = 489,052.16 × 148,531.20
  4. Step 4: Simplify right side
    326,031.36x = 72,639,504,187.39
  5. Step 5: Solve for x
    x = 72,639,504,187.39/326,031.36
  6. Step 6: Final answer
    x = 222,799.13

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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.