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Finding the Fourth Proportional to 257,259.66, 354,704.66 and 189,069

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Solution

The fourth proportional to 257,259.66, 354,704.66 and 189,069 is: 260,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,259.66 : 354,704.66 = 189,069 : x
  2. Step 2: Convert to fraction form
    257,259.66/354,704.66 = 189,069/x
  3. Step 3: Cross multiply
    257,259.66x = 354,704.66 × 189,069
  4. Step 4: Simplify right side
    257,259.66x = 67,063,655,361.54
  5. Step 5: Solve for x
    x = 67,063,655,361.54/257,259.66
  6. Step 6: Final answer
    x = 260,684.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.