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Finding the Fourth Proportional to 402,002.10, 603,003.15 and 165,222.90

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Solution

The fourth proportional to 402,002.10, 603,003.15 and 165,222.90 is: 247,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,002.10 : 603,003.15 = 165,222.90 : x
  2. Step 2: Convert to fraction form
    402,002.10/603,003.15 = 165,222.90/x
  3. Step 3: Cross multiply
    402,002.10x = 603,003.15 × 165,222.90
  4. Step 4: Simplify right side
    402,002.10x = 99,629,929,152.14
  5. Step 5: Solve for x
    x = 99,629,929,152.14/402,002.10
  6. Step 6: Final answer
    x = 247,834.35

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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.