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Finding the Fourth Proportional to 375,529.80, 518,231.34 and 205,763.88

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Solution

The fourth proportional to 375,529.80, 518,231.34 and 205,763.88 is: 283,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,529.80 : 518,231.34 = 205,763.88 : x
  2. Step 2: Convert to fraction form
    375,529.80/518,231.34 = 205,763.88/x
  3. Step 3: Cross multiply
    375,529.80x = 518,231.34 × 205,763.88
  4. Step 4: Simplify right side
    375,529.80x = 106,633,291,256.00
  5. Step 5: Solve for x
    x = 106,633,291,256.00/375,529.80
  6. Step 6: Final answer
    x = 283,954.27

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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.