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Finding the Fourth Proportional to 231,445.20, 346,390.20 and 161,461.20

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Solution

The fourth proportional to 231,445.20, 346,390.20 and 161,461.20 is: 241,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,445.20 : 346,390.20 = 161,461.20 : x
  2. Step 2: Convert to fraction form
    231,445.20/346,390.20 = 161,461.20/x
  3. Step 3: Cross multiply
    231,445.20x = 346,390.20 × 161,461.20
  4. Step 4: Simplify right side
    231,445.20x = 55,928,577,360.24
  5. Step 5: Solve for x
    x = 55,928,577,360.24/231,445.20
  6. Step 6: Final answer
    x = 241,649.33

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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.