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Finding the Fourth Proportional to 258,810.76, 387,820.86 and 174,258.64

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Solution

The fourth proportional to 258,810.76, 387,820.86 and 174,258.64 is: 261,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,810.76 : 387,820.86 = 174,258.64 : x
  2. Step 2: Convert to fraction form
    258,810.76/387,820.86 = 174,258.64/x
  3. Step 3: Cross multiply
    258,810.76x = 387,820.86 × 174,258.64
  4. Step 4: Simplify right side
    258,810.76x = 67,581,135,627.23
  5. Step 5: Solve for x
    x = 67,581,135,627.23/258,810.76
  6. Step 6: Final answer
    x = 261,121.82

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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.