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Finding the Fourth Proportional to 311,352, 429,666.24 and 177,216

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Solution

The fourth proportional to 311,352, 429,666.24 and 177,216 is: 244,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,352 : 429,666.24 = 177,216 : x
  2. Step 2: Convert to fraction form
    311,352/429,666.24 = 177,216/x
  3. Step 3: Cross multiply
    311,352x = 429,666.24 × 177,216
  4. Step 4: Simplify right side
    311,352x = 76,143,732,387.84
  5. Step 5: Solve for x
    x = 76,143,732,387.84/311,352
  6. Step 6: Final answer
    x = 244,558.35

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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.