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Finding the Fourth Proportional to 343,714.76, 515,449.10 and 119,014.86

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Solution

The fourth proportional to 343,714.76, 515,449.10 and 119,014.86 is: 178,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,714.76 : 515,449.10 = 119,014.86 : x
  2. Step 2: Convert to fraction form
    343,714.76/515,449.10 = 119,014.86/x
  3. Step 3: Cross multiply
    343,714.76x = 515,449.10 × 119,014.86
  4. Step 4: Simplify right side
    343,714.76x = 61,346,102,473.63
  5. Step 5: Solve for x
    x = 61,346,102,473.63/343,714.76
  6. Step 6: Final answer
    x = 178,479.69

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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.