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Finding the Fourth Proportional to 543,089.85, 749,414.34 and 322,289.13

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Solution

The fourth proportional to 543,089.85, 749,414.34 and 322,289.13 is: 444,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,089.85 : 749,414.34 = 322,289.13 : x
  2. Step 2: Convert to fraction form
    543,089.85/749,414.34 = 322,289.13/x
  3. Step 3: Cross multiply
    543,089.85x = 749,414.34 × 322,289.13
  4. Step 4: Simplify right side
    543,089.85x = 241,528,097,399.11
  5. Step 5: Solve for x
    x = 241,528,097,399.11/543,089.85
  6. Step 6: Final answer
    x = 444,729.54

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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.