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Finding the Fourth Proportional to 400,460.40, 600,361.32 and 187,122.79

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Solution

The fourth proportional to 400,460.40, 600,361.32 and 187,122.79 is: 280,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,460.40 : 600,361.32 = 187,122.79 : x
  2. Step 2: Convert to fraction form
    400,460.40/600,361.32 = 187,122.79/x
  3. Step 3: Cross multiply
    400,460.40x = 600,361.32 × 187,122.79
  4. Step 4: Simplify right side
    400,460.40x = 112,341,285,206.48
  5. Step 5: Solve for x
    x = 112,341,285,206.48/400,460.40
  6. Step 6: Final answer
    x = 280,530.32

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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.