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Finding the Fourth Proportional to 289,667.56, 399,734.40 and 160,605.40

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Solution

The fourth proportional to 289,667.56, 399,734.40 and 160,605.40 is: 221,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,667.56 : 399,734.40 = 160,605.40 : x
  2. Step 2: Convert to fraction form
    289,667.56/399,734.40 = 160,605.40/x
  3. Step 3: Cross multiply
    289,667.56x = 399,734.40 × 160,605.40
  4. Step 4: Simplify right side
    289,667.56x = 64,199,503,205.76
  5. Step 5: Solve for x
    x = 64,199,503,205.76/289,667.56
  6. Step 6: Final answer
    x = 221,631.66

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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.