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Finding the Fourth Proportional to 311,877.32, 430,390.04 and 175,910.84

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Solution

The fourth proportional to 311,877.32, 430,390.04 and 175,910.84 is: 242,756.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,877.32 : 430,390.04 = 175,910.84 : x
  2. Step 2: Convert to fraction form
    311,877.32/430,390.04 = 175,910.84/x
  3. Step 3: Cross multiply
    311,877.32x = 430,390.04 × 175,910.84
  4. Step 4: Simplify right side
    311,877.32x = 75,710,273,464.03
  5. Step 5: Solve for x
    x = 75,710,273,464.03/311,877.32
  6. Step 6: Final answer
    x = 242,756.59

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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.