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Finding the Fourth Proportional to 289,654.20, 399,700.98 and 162,305.28

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Solution

The fourth proportional to 289,654.20, 399,700.98 and 162,305.28 is: 223,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,654.20 : 399,700.98 = 162,305.28 : x
  2. Step 2: Convert to fraction form
    289,654.20/399,700.98 = 162,305.28/x
  3. Step 3: Cross multiply
    289,654.20x = 399,700.98 × 162,305.28
  4. Step 4: Simplify right side
    289,654.20x = 64,873,579,475.17
  5. Step 5: Solve for x
    x = 64,873,579,475.17/289,654.20
  6. Step 6: Final answer
    x = 223,969.06

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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.