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Finding the Fourth Proportional to 427,206.58, 640,876.32 and 142,809.10

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Solution

The fourth proportional to 427,206.58, 640,876.32 and 142,809.10 is: 214,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,206.58 : 640,876.32 = 142,809.10 : x
  2. Step 2: Convert to fraction form
    427,206.58/640,876.32 = 142,809.10/x
  3. Step 3: Cross multiply
    427,206.58x = 640,876.32 × 142,809.10
  4. Step 4: Simplify right side
    427,206.58x = 91,522,970,470.51
  5. Step 5: Solve for x
    x = 91,522,970,470.51/427,206.58
  6. Step 6: Final answer
    x = 214,235.86

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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.