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Finding the Fourth Proportional to 289,662.96, 399,599.28 and 180,678

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Solution

The fourth proportional to 289,662.96, 399,599.28 and 180,678 is: 249,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,662.96 : 399,599.28 = 180,678 : x
  2. Step 2: Convert to fraction form
    289,662.96/399,599.28 = 180,678/x
  3. Step 3: Cross multiply
    289,662.96x = 399,599.28 × 180,678
  4. Step 4: Simplify right side
    289,662.96x = 72,198,798,711.84
  5. Step 5: Solve for x
    x = 72,198,798,711.84/289,662.96
  6. Step 6: Final answer
    x = 249,251.06

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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.