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Finding the Fourth Proportional to 304,910.25, 457,784.31 and 155,251.09

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Solution

The fourth proportional to 304,910.25, 457,784.31 and 155,251.09 is: 233,089.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,910.25 : 457,784.31 = 155,251.09 : x
  2. Step 2: Convert to fraction form
    304,910.25/457,784.31 = 155,251.09/x
  3. Step 3: Cross multiply
    304,910.25x = 457,784.31 × 155,251.09
  4. Step 4: Simplify right side
    304,910.25x = 71,071,513,112.40
  5. Step 5: Solve for x
    x = 71,071,513,112.40/304,910.25
  6. Step 6: Final answer
    x = 233,089.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.