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Finding the Fourth Proportional to 405,090.30, 607,149.45 and 168,311.10

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Solution

The fourth proportional to 405,090.30, 607,149.45 and 168,311.10 is: 252,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,090.30 : 607,149.45 = 168,311.10 : x
  2. Step 2: Convert to fraction form
    405,090.30/607,149.45 = 168,311.10/x
  3. Step 3: Cross multiply
    405,090.30x = 607,149.45 × 168,311.10
  4. Step 4: Simplify right side
    405,090.30x = 102,189,991,793.90
  5. Step 5: Solve for x
    x = 102,189,991,793.90/405,090.30
  6. Step 6: Final answer
    x = 252,264.72

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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.