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Finding the Fourth Proportional to 402,198.30, 603,297.45 and 165,710.70

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Solution

The fourth proportional to 402,198.30, 603,297.45 and 165,710.70 is: 248,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,198.30 : 603,297.45 = 165,710.70 : x
  2. Step 2: Convert to fraction form
    402,198.30/603,297.45 = 165,710.70/x
  3. Step 3: Cross multiply
    402,198.30x = 603,297.45 × 165,710.70
  4. Step 4: Simplify right side
    402,198.30x = 99,972,842,747.72
  5. Step 5: Solve for x
    x = 99,972,842,747.72/402,198.30
  6. Step 6: Final answer
    x = 248,566.05

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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.