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Finding the Fourth Proportional to 375,440.42, 518,109.60 and 205,674.56

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Solution

The fourth proportional to 375,440.42, 518,109.60 and 205,674.56 is: 283,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,440.42 : 518,109.60 = 205,674.56 : x
  2. Step 2: Convert to fraction form
    375,440.42/518,109.60 = 205,674.56/x
  3. Step 3: Cross multiply
    375,440.42x = 518,109.60 × 205,674.56
  4. Step 4: Simplify right side
    375,440.42x = 106,561,964,011.78
  5. Step 5: Solve for x
    x = 106,561,964,011.78/375,440.42
  6. Step 6: Final answer
    x = 283,831.89

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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.