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Finding the Fourth Proportional to 313,714, 432,983.64 and 179,578

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Solution

The fourth proportional to 313,714, 432,983.64 and 179,578 is: 247,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,714 : 432,983.64 = 179,578 : x
  2. Step 2: Convert to fraction form
    313,714/432,983.64 = 179,578/x
  3. Step 3: Cross multiply
    313,714x = 432,983.64 × 179,578
  4. Step 4: Simplify right side
    313,714x = 77,754,336,103.92
  5. Step 5: Solve for x
    x = 77,754,336,103.92/313,714
  6. Step 6: Final answer
    x = 247,851.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.