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Finding the Fourth Proportional to 304,924.29, 457,387.43 and 77,219.78

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Solution

The fourth proportional to 304,924.29, 457,387.43 and 77,219.78 is: 115,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,924.29 : 457,387.43 = 77,219.78 : x
  2. Step 2: Convert to fraction form
    304,924.29/457,387.43 = 77,219.78/x
  3. Step 3: Cross multiply
    304,924.29x = 457,387.43 × 77,219.78
  4. Step 4: Simplify right side
    304,924.29x = 35,319,354,046.33
  5. Step 5: Solve for x
    x = 35,319,354,046.33/304,924.29
  6. Step 6: Final answer
    x = 115,829.91

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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.