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Finding the Fourth Proportional to 375,154.37, 517,725.66 and 205,392.05

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Solution

The fourth proportional to 375,154.37, 517,725.66 and 205,392.05 is: 283,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,154.37 : 517,725.66 = 205,392.05 : x
  2. Step 2: Convert to fraction form
    375,154.37/517,725.66 = 205,392.05/x
  3. Step 3: Cross multiply
    375,154.37x = 517,725.66 × 205,392.05
  4. Step 4: Simplify right side
    375,154.37x = 106,336,732,056.38
  5. Step 5: Solve for x
    x = 106,336,732,056.38/375,154.37
  6. Step 6: Final answer
    x = 283,447.94

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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.