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Finding the Fourth Proportional to 362,397.90, 543,608.13 and 172,878.78

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Solution

The fourth proportional to 362,397.90, 543,608.13 and 172,878.78 is: 259,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,397.90 : 543,608.13 = 172,878.78 : x
  2. Step 2: Convert to fraction form
    362,397.90/543,608.13 = 172,878.78/x
  3. Step 3: Cross multiply
    362,397.90x = 543,608.13 × 172,878.78
  4. Step 4: Simplify right side
    362,397.90x = 93,978,310,312.48
  5. Step 5: Solve for x
    x = 93,978,310,312.48/362,397.90
  6. Step 6: Final answer
    x = 259,323.55

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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.