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Finding the Fourth Proportional to 375,673.26, 518,429.08 and 205,903.74

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Solution

The fourth proportional to 375,673.26, 518,429.08 and 205,903.74 is: 284,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,673.26 : 518,429.08 = 205,903.74 : x
  2. Step 2: Convert to fraction form
    375,673.26/518,429.08 = 205,903.74/x
  3. Step 3: Cross multiply
    375,673.26x = 518,429.08 × 205,903.74
  4. Step 4: Simplify right side
    375,673.26x = 106,746,486,496.76
  5. Step 5: Solve for x
    x = 106,746,486,496.76/375,673.26
  6. Step 6: Final answer
    x = 284,147.15

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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.