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Finding the Fourth Proportional to 313,590, 432,754.20 and 172,278

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Solution

The fourth proportional to 313,590, 432,754.20 and 172,278 is: 237,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,590 : 432,754.20 = 172,278 : x
  2. Step 2: Convert to fraction form
    313,590/432,754.20 = 172,278/x
  3. Step 3: Cross multiply
    313,590x = 432,754.20 × 172,278
  4. Step 4: Simplify right side
    313,590x = 74,554,028,067.60
  5. Step 5: Solve for x
    x = 74,554,028,067.60/313,590
  6. Step 6: Final answer
    x = 237,743.64

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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.