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Finding the Fourth Proportional to 343,742.80, 515,614.20 and 339,077.20

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Solution

The fourth proportional to 343,742.80, 515,614.20 and 339,077.20 is: 508,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,742.80 : 515,614.20 = 339,077.20 : x
  2. Step 2: Convert to fraction form
    343,742.80/515,614.20 = 339,077.20/x
  3. Step 3: Cross multiply
    343,742.80x = 515,614.20 × 339,077.20
  4. Step 4: Simplify right side
    343,742.80x = 174,833,019,216.24
  5. Step 5: Solve for x
    x = 174,833,019,216.24/343,742.80
  6. Step 6: Final answer
    x = 508,615.80

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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.