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Finding the Fourth Proportional to 289,162.81, 399,057.15 and 160,101.28

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Solution

The fourth proportional to 289,162.81, 399,057.15 and 160,101.28 is: 220,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,162.81 : 399,057.15 = 160,101.28 : x
  2. Step 2: Convert to fraction form
    289,162.81/399,057.15 = 160,101.28/x
  3. Step 3: Cross multiply
    289,162.81x = 399,057.15 × 160,101.28
  4. Step 4: Simplify right side
    289,162.81x = 63,889,562,279.42
  5. Step 5: Solve for x
    x = 63,889,562,279.42/289,162.81
  6. Step 6: Final answer
    x = 220,946.67

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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.