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Finding the Fourth Proportional to 400,509.97, 600,688.38 and 120,027.22

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Solution

The fourth proportional to 400,509.97, 600,688.38 and 120,027.22 is: 180,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,509.97 : 600,688.38 = 120,027.22 : x
  2. Step 2: Convert to fraction form
    400,509.97/600,688.38 = 120,027.22/x
  3. Step 3: Cross multiply
    400,509.97x = 600,688.38 × 120,027.22
  4. Step 4: Simplify right side
    400,509.97x = 72,098,956,337.70
  5. Step 5: Solve for x
    x = 72,098,956,337.70/400,509.97
  6. Step 6: Final answer
    x = 180,017.88

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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.