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Finding the Fourth Proportional to 289,890.92, 400,069.98 and 160,870.72

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Solution

The fourth proportional to 289,890.92, 400,069.98 and 160,870.72 is: 222,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,890.92 : 400,069.98 = 160,870.72 : x
  2. Step 2: Convert to fraction form
    289,890.92/400,069.98 = 160,870.72/x
  3. Step 3: Cross multiply
    289,890.92x = 400,069.98 × 160,870.72
  4. Step 4: Simplify right side
    289,890.92x = 64,359,545,732.99
  5. Step 5: Solve for x
    x = 64,359,545,732.99/289,890.92
  6. Step 6: Final answer
    x = 222,012.98

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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.