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Finding the Fourth Proportional to 526,329, 726,289.88 and 311,431.41

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Solution

The fourth proportional to 526,329, 726,289.88 and 311,431.41 is: 429,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,329 : 726,289.88 = 311,431.41 : x
  2. Step 2: Convert to fraction form
    526,329/726,289.88 = 311,431.41/x
  3. Step 3: Cross multiply
    526,329x = 726,289.88 × 311,431.41
  4. Step 4: Simplify right side
    526,329x = 226,189,479,839.97
  5. Step 5: Solve for x
    x = 226,189,479,839.97/526,329
  6. Step 6: Final answer
    x = 429,749.22

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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.