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Finding the Fourth Proportional to 281,509.96, 422,420.46 and 115,285

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Solution

The fourth proportional to 281,509.96, 422,420.46 and 115,285 is: 172,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,509.96 : 422,420.46 = 115,285 : x
  2. Step 2: Convert to fraction form
    281,509.96/422,420.46 = 115,285/x
  3. Step 3: Cross multiply
    281,509.96x = 422,420.46 × 115,285
  4. Step 4: Simplify right side
    281,509.96x = 48,698,742,731.10
  5. Step 5: Solve for x
    x = 48,698,742,731.10/281,509.96
  6. Step 6: Final answer
    x = 172,991.19

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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.