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Finding the Fourth Proportional to 402,636.20, 603,511.44 and 165,849.74

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Solution

The fourth proportional to 402,636.20, 603,511.44 and 165,849.74 is: 248,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,636.20 : 603,511.44 = 165,849.74 : x
  2. Step 2: Convert to fraction form
    402,636.20/603,511.44 = 165,849.74/x
  3. Step 3: Cross multiply
    402,636.20x = 603,511.44 × 165,849.74
  4. Step 4: Simplify right side
    402,636.20x = 100,092,215,411.03
  5. Step 5: Solve for x
    x = 100,092,215,411.03/402,636.20
  6. Step 6: Final answer
    x = 248,592.19

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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.