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Finding the Fourth Proportional to 257,232.66, 354,667.40 and 189,042

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Solution

The fourth proportional to 257,232.66, 354,667.40 and 189,042 is: 260,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,232.66 : 354,667.40 = 189,042 : x
  2. Step 2: Convert to fraction form
    257,232.66/354,667.40 = 189,042/x
  3. Step 3: Cross multiply
    257,232.66x = 354,667.40 × 189,042
  4. Step 4: Simplify right side
    257,232.66x = 67,047,034,630.80
  5. Step 5: Solve for x
    x = 67,047,034,630.80/257,232.66
  6. Step 6: Final answer
    x = 260,647.44

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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.