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Finding the Fourth Proportional to 257,252.02, 386,009.65 and 122,468.42

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Solution

The fourth proportional to 257,252.02, 386,009.65 and 122,468.42 is: 183,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,252.02 : 386,009.65 = 122,468.42 : x
  2. Step 2: Convert to fraction form
    257,252.02/386,009.65 = 122,468.42/x
  3. Step 3: Cross multiply
    257,252.02x = 386,009.65 × 122,468.42
  4. Step 4: Simplify right side
    257,252.02x = 47,273,993,058.36
  5. Step 5: Solve for x
    x = 47,273,993,058.36/257,252.02
  6. Step 6: Final answer
    x = 183,765.30

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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.