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Finding the Fourth Proportional to 257,615.64, 386,344.71 and 178,164.27

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Solution

The fourth proportional to 257,615.64, 386,344.71 and 178,164.27 is: 267,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,615.64 : 386,344.71 = 178,164.27 : x
  2. Step 2: Convert to fraction form
    257,615.64/386,344.71 = 178,164.27/x
  3. Step 3: Cross multiply
    257,615.64x = 386,344.71 × 178,164.27
  4. Step 4: Simplify right side
    257,615.64x = 68,832,823,225.51
  5. Step 5: Solve for x
    x = 68,832,823,225.51/257,615.64
  6. Step 6: Final answer
    x = 267,191.94

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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.