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Finding the Fourth Proportional to 375,357.43, 518,035.20 and 214,239.77

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Solution

The fourth proportional to 375,357.43, 518,035.20 and 214,239.77 is: 295,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,357.43 : 518,035.20 = 214,239.77 : x
  2. Step 2: Convert to fraction form
    375,357.43/518,035.20 = 214,239.77/x
  3. Step 3: Cross multiply
    375,357.43x = 518,035.20 × 214,239.77
  4. Step 4: Simplify right side
    375,357.43x = 110,983,744,190.16
  5. Step 5: Solve for x
    x = 110,983,744,190.16/375,357.43
  6. Step 6: Final answer
    x = 295,674.83

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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.