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Finding the Fourth Proportional to 220,374, 304,117.20 and 119,772

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Solution

The fourth proportional to 220,374, 304,117.20 and 119,772 is: 165,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,374 : 304,117.20 = 119,772 : x
  2. Step 2: Convert to fraction form
    220,374/304,117.20 = 119,772/x
  3. Step 3: Cross multiply
    220,374x = 304,117.20 × 119,772
  4. Step 4: Simplify right side
    220,374x = 36,424,725,278.40
  5. Step 5: Solve for x
    x = 36,424,725,278.40/220,374
  6. Step 6: Final answer
    x = 165,285.95

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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.