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Finding the Fourth Proportional to 375,426.66, 518,101.74 and 205,660.80

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Solution

The fourth proportional to 375,426.66, 518,101.74 and 205,660.80 is: 283,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,426.66 : 518,101.74 = 205,660.80 : x
  2. Step 2: Convert to fraction form
    375,426.66/518,101.74 = 205,660.80/x
  3. Step 3: Cross multiply
    375,426.66x = 518,101.74 × 205,660.80
  4. Step 4: Simplify right side
    375,426.66x = 106,553,218,329.79
  5. Step 5: Solve for x
    x = 106,553,218,329.79/375,426.66
  6. Step 6: Final answer
    x = 283,819.00

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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.