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Finding the Fourth Proportional to 343,404.60, 515,214.90 and 165,917.40

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Solution

The fourth proportional to 343,404.60, 515,214.90 and 165,917.40 is: 248,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,404.60 : 515,214.90 = 165,917.40 : x
  2. Step 2: Convert to fraction form
    343,404.60/515,214.90 = 165,917.40/x
  3. Step 3: Cross multiply
    343,404.60x = 515,214.90 × 165,917.40
  4. Step 4: Simplify right side
    343,404.60x = 85,483,116,649.26
  5. Step 5: Solve for x
    x = 85,483,116,649.26/343,404.60
  6. Step 6: Final answer
    x = 248,928.28

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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.