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Finding the Fourth Proportional to 427,024.32, 640,318.86 and 142,612.56

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Solution

The fourth proportional to 427,024.32, 640,318.86 and 142,612.56 is: 213,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,024.32 : 640,318.86 = 142,612.56 : x
  2. Step 2: Convert to fraction form
    427,024.32/640,318.86 = 142,612.56/x
  3. Step 3: Cross multiply
    427,024.32x = 640,318.86 × 142,612.56
  4. Step 4: Simplify right side
    427,024.32x = 91,317,511,840.88
  5. Step 5: Solve for x
    x = 91,317,511,840.88/427,024.32
  6. Step 6: Final answer
    x = 213,846.16

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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.