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Finding the Fourth Proportional to 300,959.76, 415,329.12 and 165,006.72

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Solution

The fourth proportional to 300,959.76, 415,329.12 and 165,006.72 is: 227,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,959.76 : 415,329.12 = 165,006.72 : x
  2. Step 2: Convert to fraction form
    300,959.76/415,329.12 = 165,006.72/x
  3. Step 3: Cross multiply
    300,959.76x = 415,329.12 × 165,006.72
  4. Step 4: Simplify right side
    300,959.76x = 68,532,095,811.69
  5. Step 5: Solve for x
    x = 68,532,095,811.69/300,959.76
  6. Step 6: Final answer
    x = 227,711.82

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1.5x scale

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.