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Finding the Fourth Proportional to 265,563.60, 398,416.32 and 115,815.96

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Solution

The fourth proportional to 265,563.60, 398,416.32 and 115,815.96 is: 173,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,563.60 : 398,416.32 = 115,815.96 : x
  2. Step 2: Convert to fraction form
    265,563.60/398,416.32 = 115,815.96/x
  3. Step 3: Cross multiply
    265,563.60x = 398,416.32 × 115,815.96
  4. Step 4: Simplify right side
    265,563.60x = 46,142,968,580.47
  5. Step 5: Solve for x
    x = 46,142,968,580.47/265,563.60
  6. Step 6: Final answer
    x = 173,754.87

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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.