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Finding the Fourth Proportional to 318,682.56, 478,035.27 and 108,293.16

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Solution

The fourth proportional to 318,682.56, 478,035.27 and 108,293.16 is: 162,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,682.56 : 478,035.27 = 108,293.16 : x
  2. Step 2: Convert to fraction form
    318,682.56/478,035.27 = 108,293.16/x
  3. Step 3: Cross multiply
    318,682.56x = 478,035.27 × 108,293.16
  4. Step 4: Simplify right side
    318,682.56x = 51,767,949,979.75
  5. Step 5: Solve for x
    x = 51,767,949,979.75/318,682.56
  6. Step 6: Final answer
    x = 162,443.62

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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.