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Finding the Fourth Proportional to 289,329.99, 399,281.82 and 165,148.46

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Solution

The fourth proportional to 289,329.99, 399,281.82 and 165,148.46 is: 227,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,329.99 : 399,281.82 = 165,148.46 : x
  2. Step 2: Convert to fraction form
    289,329.99/399,281.82 = 165,148.46/x
  3. Step 3: Cross multiply
    289,329.99x = 399,281.82 × 165,148.46
  4. Step 4: Simplify right side
    289,329.99x = 65,940,776,560.59
  5. Step 5: Solve for x
    x = 65,940,776,560.59/289,329.99
  6. Step 6: Final answer
    x = 227,908.55

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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.