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Finding the Fourth Proportional to 268,297, 370,251.30 and 149,065

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Solution

The fourth proportional to 268,297, 370,251.30 and 149,065 is: 205,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,297 : 370,251.30 = 149,065 : x
  2. Step 2: Convert to fraction form
    268,297/370,251.30 = 149,065/x
  3. Step 3: Cross multiply
    268,297x = 370,251.30 × 149,065
  4. Step 4: Simplify right side
    268,297x = 55,191,510,034.50
  5. Step 5: Solve for x
    x = 55,191,510,034.50/268,297
  6. Step 6: Final answer
    x = 205,710.50

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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.