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Finding the Fourth Proportional to 327,148.29, 490,684.41 and 90,509.40

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Solution

The fourth proportional to 327,148.29, 490,684.41 and 90,509.40 is: 135,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,148.29 : 490,684.41 = 90,509.40 : x
  2. Step 2: Convert to fraction form
    327,148.29/490,684.41 = 90,509.40/x
  3. Step 3: Cross multiply
    327,148.29x = 490,684.41 × 90,509.40
  4. Step 4: Simplify right side
    327,148.29x = 44,411,551,538.45
  5. Step 5: Solve for x
    x = 44,411,551,538.45/327,148.29
  6. Step 6: Final answer
    x = 135,753.58

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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.