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Finding the Fourth Proportional to 255,220.58, 382,801.71 and 68,246.66

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Solution

The fourth proportional to 255,220.58, 382,801.71 and 68,246.66 is: 102,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,220.58 : 382,801.71 = 68,246.66 : x
  2. Step 2: Convert to fraction form
    255,220.58/382,801.71 = 68,246.66/x
  3. Step 3: Cross multiply
    255,220.58x = 382,801.71 × 68,246.66
  4. Step 4: Simplify right side
    255,220.58x = 26,124,938,149.79
  5. Step 5: Solve for x
    x = 26,124,938,149.79/255,220.58
  6. Step 6: Final answer
    x = 102,362.19

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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.