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Finding the Fourth Proportional to 642,098.84, 963,157.67 and 305,173.86

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Solution

The fourth proportional to 642,098.84, 963,157.67 and 305,173.86 is: 457,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,098.84 : 963,157.67 = 305,173.86 : x
  2. Step 2: Convert to fraction form
    642,098.84/963,157.67 = 305,173.86/x
  3. Step 3: Cross multiply
    642,098.84x = 963,157.67 × 305,173.86
  4. Step 4: Simplify right side
    642,098.84x = 293,930,542,416.64
  5. Step 5: Solve for x
    x = 293,930,542,416.64/642,098.84
  6. Step 6: Final answer
    x = 457,765.26

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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.