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Finding the Fourth Proportional to 642,474.45, 963,713.84 and 162,702

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Solution

The fourth proportional to 642,474.45, 963,713.84 and 162,702 is: 244,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,474.45 : 963,713.84 = 162,702 : x
  2. Step 2: Convert to fraction form
    642,474.45/963,713.84 = 162,702/x
  3. Step 3: Cross multiply
    642,474.45x = 963,713.84 × 162,702
  4. Step 4: Simplify right side
    642,474.45x = 156,798,168,382.17
  5. Step 5: Solve for x
    x = 156,798,168,382.17/642,474.45
  6. Step 6: Final answer
    x = 244,053.55

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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.