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Finding the Fourth Proportional to 376,876.64, 520,171.79 and 231,807.10

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Solution

The fourth proportional to 376,876.64, 520,171.79 and 231,807.10 is: 319,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,876.64 : 520,171.79 = 231,807.10 : x
  2. Step 2: Convert to fraction form
    376,876.64/520,171.79 = 231,807.10/x
  3. Step 3: Cross multiply
    376,876.64x = 520,171.79 × 231,807.10
  4. Step 4: Simplify right side
    376,876.64x = 120,579,514,141.71
  5. Step 5: Solve for x
    x = 120,579,514,141.71/376,876.64
  6. Step 6: Final answer
    x = 319,944.25

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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.