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Finding the Fourth Proportional to 642,098.08, 963,156.53 and 305,173.11

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Solution

The fourth proportional to 642,098.08, 963,156.53 and 305,173.11 is: 457,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,098.08 : 963,156.53 = 305,173.11 : x
  2. Step 2: Convert to fraction form
    642,098.08/963,156.53 = 305,173.11/x
  3. Step 3: Cross multiply
    642,098.08x = 963,156.53 × 305,173.11
  4. Step 4: Simplify right side
    642,098.08x = 293,929,474,439.84
  5. Step 5: Solve for x
    x = 293,929,474,439.84/642,098.08
  6. Step 6: Final answer
    x = 457,764.14

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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.