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Finding the Fourth Proportional to 268,308, 370,265.04 and 149,076

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Solution

The fourth proportional to 268,308, 370,265.04 and 149,076 is: 205,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,308 : 370,265.04 = 149,076 : x
  2. Step 2: Convert to fraction form
    268,308/370,265.04 = 149,076/x
  3. Step 3: Cross multiply
    268,308x = 370,265.04 × 149,076
  4. Step 4: Simplify right side
    268,308x = 55,197,631,103.04
  5. Step 5: Solve for x
    x = 55,197,631,103.04/268,308
  6. Step 6: Final answer
    x = 205,724.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.