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Finding the Fourth Proportional to 375,438.42, 518,106.84 and 205,672.56

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Solution

The fourth proportional to 375,438.42, 518,106.84 and 205,672.56 is: 283,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,438.42 : 518,106.84 = 205,672.56 : x
  2. Step 2: Convert to fraction form
    375,438.42/518,106.84 = 205,672.56/x
  3. Step 3: Cross multiply
    375,438.42x = 518,106.84 × 205,672.56
  4. Step 4: Simplify right side
    375,438.42x = 106,560,360,136.31
  5. Step 5: Solve for x
    x = 106,560,360,136.31/375,438.42
  6. Step 6: Final answer
    x = 283,829.13

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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.