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Finding the Fourth Proportional to 289,594.85, 399,659.54 and 160,538.76

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Solution

The fourth proportional to 289,594.85, 399,659.54 and 160,538.76 is: 221,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,594.85 : 399,659.54 = 160,538.76 : x
  2. Step 2: Convert to fraction form
    289,594.85/399,659.54 = 160,538.76/x
  3. Step 3: Cross multiply
    289,594.85x = 399,659.54 × 160,538.76
  4. Step 4: Simplify right side
    289,594.85x = 64,160,846,171.08
  5. Step 5: Solve for x
    x = 64,160,846,171.08/289,594.85
  6. Step 6: Final answer
    x = 221,553.83

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1.5x scale

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.