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Finding the Fourth Proportional to 304,461.52, 420,150.25 and 166,639.78

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Solution

The fourth proportional to 304,461.52, 420,150.25 and 166,639.78 is: 229,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,461.52 : 420,150.25 = 166,639.78 : x
  2. Step 2: Convert to fraction form
    304,461.52/420,150.25 = 166,639.78/x
  3. Step 3: Cross multiply
    304,461.52x = 420,150.25 × 166,639.78
  4. Step 4: Simplify right side
    304,461.52x = 70,013,745,226.95
  5. Step 5: Solve for x
    x = 70,013,745,226.95/304,461.52
  6. Step 6: Final answer
    x = 229,959.26

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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.