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Finding the Fourth Proportional to 343,274.60, 514,911.90 and 231,008.60

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Solution

The fourth proportional to 343,274.60, 514,911.90 and 231,008.60 is: 346,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,274.60 : 514,911.90 = 231,008.60 : x
  2. Step 2: Convert to fraction form
    343,274.60/514,911.90 = 231,008.60/x
  3. Step 3: Cross multiply
    343,274.60x = 514,911.90 × 231,008.60
  4. Step 4: Simplify right side
    343,274.60x = 118,949,077,142.34
  5. Step 5: Solve for x
    x = 118,949,077,142.34/343,274.60
  6. Step 6: Final answer
    x = 346,512.90

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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.