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Finding the Fourth Proportional to 289,545.82, 399,589.12 and 160,481.64

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Solution

The fourth proportional to 289,545.82, 399,589.12 and 160,481.64 is: 221,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,545.82 : 399,589.12 = 160,481.64 : x
  2. Step 2: Convert to fraction form
    289,545.82/399,589.12 = 160,481.64/x
  3. Step 3: Cross multiply
    289,545.82x = 399,589.12 × 160,481.64
  4. Step 4: Simplify right side
    289,545.82x = 64,126,717,303.76
  5. Step 5: Solve for x
    x = 64,126,717,303.76/289,545.82
  6. Step 6: Final answer
    x = 221,473.47

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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.