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Finding the Fourth Proportional to 257,128.62, 385,493.13 and 97,201.98

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Solution

The fourth proportional to 257,128.62, 385,493.13 and 97,201.98 is: 145,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,128.62 : 385,493.13 = 97,201.98 : x
  2. Step 2: Convert to fraction form
    257,128.62/385,493.13 = 97,201.98/x
  3. Step 3: Cross multiply
    257,128.62x = 385,493.13 × 97,201.98
  4. Step 4: Simplify right side
    257,128.62x = 37,470,695,512.40
  5. Step 5: Solve for x
    x = 37,470,695,512.40/257,128.62
  6. Step 6: Final answer
    x = 145,727.44

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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.