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Finding the Fourth Proportional to 311,031.88, 429,237.64 and 175,074.60

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Solution

The fourth proportional to 311,031.88, 429,237.64 and 175,074.60 is: 241,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,031.88 : 429,237.64 = 175,074.60 : x
  2. Step 2: Convert to fraction form
    311,031.88/429,237.64 = 175,074.60/x
  3. Step 3: Cross multiply
    311,031.88x = 429,237.64 × 175,074.60
  4. Step 4: Simplify right side
    311,031.88x = 75,148,608,127.94
  5. Step 5: Solve for x
    x = 75,148,608,127.94/311,031.88
  6. Step 6: Final answer
    x = 241,610.63

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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.