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Finding the Fourth Proportional to 308,205, 425,322.92 and 166,893

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Solution

The fourth proportional to 308,205, 425,322.92 and 166,893 is: 230,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,205 : 425,322.92 = 166,893 : x
  2. Step 2: Convert to fraction form
    308,205/425,322.92 = 166,893/x
  3. Step 3: Cross multiply
    308,205x = 425,322.92 × 166,893
  4. Step 4: Simplify right side
    308,205x = 70,983,418,087.56
  5. Step 5: Solve for x
    x = 70,983,418,087.56/308,205
  6. Step 6: Final answer
    x = 230,312.35

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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.