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Finding the Fourth Proportional to 257,300.28, 385,695 and 122,127.48

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Solution

The fourth proportional to 257,300.28, 385,695 and 122,127.48 is: 183,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,300.28 : 385,695 = 122,127.48 : x
  2. Step 2: Convert to fraction form
    257,300.28/385,695 = 122,127.48/x
  3. Step 3: Cross multiply
    257,300.28x = 385,695 × 122,127.48
  4. Step 4: Simplify right side
    257,300.28x = 47,103,958,398.60
  5. Step 5: Solve for x
    x = 47,103,958,398.60/257,300.28
  6. Step 6: Final answer
    x = 183,069.98

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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.