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Finding the Fourth Proportional to 304,460.52, 420,148.87 and 166,638.78

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Solution

The fourth proportional to 304,460.52, 420,148.87 and 166,638.78 is: 229,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,460.52 : 420,148.87 = 166,638.78 : x
  2. Step 2: Convert to fraction form
    304,460.52/420,148.87 = 166,638.78/x
  3. Step 3: Cross multiply
    304,460.52x = 420,148.87 × 166,638.78
  4. Step 4: Simplify right side
    304,460.52x = 70,013,095,115.18
  5. Step 5: Solve for x
    x = 70,013,095,115.18/304,460.52
  6. Step 6: Final answer
    x = 229,957.88

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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.