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Finding the Fourth Proportional to 343,399.86, 515,029.65 and 130,094.24

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Solution

The fourth proportional to 343,399.86, 515,029.65 and 130,094.24 is: 195,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,399.86 : 515,029.65 = 130,094.24 : x
  2. Step 2: Convert to fraction form
    343,399.86/515,029.65 = 130,094.24/x
  3. Step 3: Cross multiply
    343,399.86x = 515,029.65 × 130,094.24
  4. Step 4: Simplify right side
    343,399.86x = 67,002,388,319.07
  5. Step 5: Solve for x
    x = 67,002,388,319.07/343,399.86
  6. Step 6: Final answer
    x = 195,114.78

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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.