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Finding the Fourth Proportional to 298,542.48, 412,017.72 and 222,959.76

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Solution

The fourth proportional to 298,542.48, 412,017.72 and 222,959.76 is: 307,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,542.48 : 412,017.72 = 222,959.76 : x
  2. Step 2: Convert to fraction form
    298,542.48/412,017.72 = 222,959.76/x
  3. Step 3: Cross multiply
    298,542.48x = 412,017.72 × 222,959.76
  4. Step 4: Simplify right side
    298,542.48x = 91,863,371,966.95
  5. Step 5: Solve for x
    x = 91,863,371,966.95/298,542.48
  6. Step 6: Final answer
    x = 307,706.20

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1.5x scale

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.