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Finding the Fourth Proportional to 400,418.64, 600,606.90 and 100,899

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Solution

The fourth proportional to 400,418.64, 600,606.90 and 100,899 is: 151,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,418.64 : 600,606.90 = 100,899 : x
  2. Step 2: Convert to fraction form
    400,418.64/600,606.90 = 100,899/x
  3. Step 3: Cross multiply
    400,418.64x = 600,606.90 × 100,899
  4. Step 4: Simplify right side
    400,418.64x = 60,600,635,603.10
  5. Step 5: Solve for x
    x = 60,600,635,603.10/400,418.64
  6. Step 6: Final answer
    x = 151,343.19

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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.