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Finding the Fourth Proportional to 311,390.19, 429,719.77 and 175,425.76

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Solution

The fourth proportional to 311,390.19, 429,719.77 and 175,425.76 is: 242,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,390.19 : 429,719.77 = 175,425.76 : x
  2. Step 2: Convert to fraction form
    311,390.19/429,719.77 = 175,425.76/x
  3. Step 3: Cross multiply
    311,390.19x = 429,719.77 × 175,425.76
  4. Step 4: Simplify right side
    311,390.19x = 75,383,917,606.44
  5. Step 5: Solve for x
    x = 75,383,917,606.44/311,390.19
  6. Step 6: Final answer
    x = 242,088.29

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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.