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Finding the Fourth Proportional to 257,545.88, 386,240.22 and 178,094.60

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Solution

The fourth proportional to 257,545.88, 386,240.22 and 178,094.60 is: 267,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,545.88 : 386,240.22 = 178,094.60 : x
  2. Step 2: Convert to fraction form
    257,545.88/386,240.22 = 178,094.60/x
  3. Step 3: Cross multiply
    257,545.88x = 386,240.22 × 178,094.60
  4. Step 4: Simplify right side
    257,545.88x = 68,787,297,484.81
  5. Step 5: Solve for x
    x = 68,787,297,484.81/257,545.88
  6. Step 6: Final answer
    x = 267,087.55

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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.