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Finding the Fourth Proportional to 327,289.93, 490,929.95 and 147,248.21

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Solution

The fourth proportional to 327,289.93, 490,929.95 and 147,248.21 is: 220,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,289.93 : 490,929.95 = 147,248.21 : x
  2. Step 2: Convert to fraction form
    327,289.93/490,929.95 = 147,248.21/x
  3. Step 3: Cross multiply
    327,289.93x = 490,929.95 × 147,248.21
  4. Step 4: Simplify right side
    327,289.93x = 72,288,557,968.33
  5. Step 5: Solve for x
    x = 72,288,557,968.33/327,289.93
  6. Step 6: Final answer
    x = 220,870.10

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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.