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Finding the Fourth Proportional to 304,270.43, 420,322.69 and 277,000.97

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Solution

The fourth proportional to 304,270.43, 420,322.69 and 277,000.97 is: 382,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,270.43 : 420,322.69 = 277,000.97 : x
  2. Step 2: Convert to fraction form
    304,270.43/420,322.69 = 277,000.97/x
  3. Step 3: Cross multiply
    304,270.43x = 420,322.69 × 277,000.97
  4. Step 4: Simplify right side
    304,270.43x = 116,429,792,843.01
  5. Step 5: Solve for x
    x = 116,429,792,843.01/304,270.43
  6. Step 6: Final answer
    x = 382,652.34

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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.