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Finding the Fourth Proportional to 633,042, 949,563 and 189,810

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Solution

The fourth proportional to 633,042, 949,563 and 189,810 is: 284,715

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,042 : 949,563 = 189,810 : x
  2. Step 2: Convert to fraction form
    633,042/949,563 = 189,810/x
  3. Step 3: Cross multiply
    633,042x = 949,563 × 189,810
  4. Step 4: Simplify right side
    633,042x = 180,236,553,030
  5. Step 5: Solve for x
    x = 180,236,553,030/633,042
  6. Step 6: Final answer
    x = 284,715

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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.