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Finding the Fourth Proportional to 289,715.22, 399,807.88 and 160,662.78

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Solution

The fourth proportional to 289,715.22, 399,807.88 and 160,662.78 is: 221,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,715.22 : 399,807.88 = 160,662.78 : x
  2. Step 2: Convert to fraction form
    289,715.22/399,807.88 = 160,662.78/x
  3. Step 3: Cross multiply
    289,715.22x = 399,807.88 × 160,662.78
  4. Step 4: Simplify right side
    289,715.22x = 64,234,245,466.71
  5. Step 5: Solve for x
    x = 64,234,245,466.71/289,715.22
  6. Step 6: Final answer
    x = 221,715.12

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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.