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Finding the Fourth Proportional to 289,076.88, 433,641.24 and 78,715.92

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Solution

The fourth proportional to 289,076.88, 433,641.24 and 78,715.92 is: 118,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,076.88 : 433,641.24 = 78,715.92 : x
  2. Step 2: Convert to fraction form
    289,076.88/433,641.24 = 78,715.92/x
  3. Step 3: Cross multiply
    289,076.88x = 433,641.24 × 78,715.92
  4. Step 4: Simplify right side
    289,076.88x = 34,134,469,156.54
  5. Step 5: Solve for x
    x = 34,134,469,156.54/289,076.88
  6. Step 6: Final answer
    x = 118,080.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.