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Finding the Fourth Proportional to 642,374.97, 963,563.22 and 193,095.87

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Solution

The fourth proportional to 642,374.97, 963,563.22 and 193,095.87 is: 289,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,374.97 : 963,563.22 = 193,095.87 : x
  2. Step 2: Convert to fraction form
    642,374.97/963,563.22 = 193,095.87/x
  3. Step 3: Cross multiply
    642,374.97x = 963,563.22 × 193,095.87
  4. Step 4: Simplify right side
    642,374.97x = 186,060,078,265.90
  5. Step 5: Solve for x
    x = 186,060,078,265.90/642,374.97
  6. Step 6: Final answer
    x = 289,644.03

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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.