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Finding the Fourth Proportional to 396,852.96, 547,870.32 and 306,009.84

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Solution

The fourth proportional to 396,852.96, 547,870.32 and 306,009.84 is: 422,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,852.96 : 547,870.32 = 306,009.84 : x
  2. Step 2: Convert to fraction form
    396,852.96/547,870.32 = 306,009.84/x
  3. Step 3: Cross multiply
    396,852.96x = 547,870.32 × 306,009.84
  4. Step 4: Simplify right side
    396,852.96x = 167,653,708,963.95
  5. Step 5: Solve for x
    x = 167,653,708,963.95/396,852.96
  6. Step 6: Final answer
    x = 422,458.00

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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.