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Finding the Fourth Proportional to 343,293.60, 514,940.40 and 231,319.20

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Solution

The fourth proportional to 343,293.60, 514,940.40 and 231,319.20 is: 346,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,293.60 : 514,940.40 = 231,319.20 : x
  2. Step 2: Convert to fraction form
    343,293.60/514,940.40 = 231,319.20/x
  3. Step 3: Cross multiply
    343,293.60x = 514,940.40 × 231,319.20
  4. Step 4: Simplify right side
    343,293.60x = 119,115,601,375.68
  5. Step 5: Solve for x
    x = 119,115,601,375.68/343,293.60
  6. Step 6: Final answer
    x = 346,978.80

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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.