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Finding the Fourth Proportional to 641,825.82, 963,321.93 and 342,561.60

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Solution

The fourth proportional to 641,825.82, 963,321.93 and 342,561.60 is: 514,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,825.82 : 963,321.93 = 342,561.60 : x
  2. Step 2: Convert to fraction form
    641,825.82/963,321.93 = 342,561.60/x
  3. Step 3: Cross multiply
    641,825.82x = 963,321.93 × 342,561.60
  4. Step 4: Simplify right side
    641,825.82x = 329,997,101,655.89
  5. Step 5: Solve for x
    x = 329,997,101,655.89/641,825.82
  6. Step 6: Final answer
    x = 514,153.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.