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Finding the Fourth Proportional to 510,918.54, 705,067.74 and 284,564.04

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Solution

The fourth proportional to 510,918.54, 705,067.74 and 284,564.04 is: 392,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,918.54 : 705,067.74 = 284,564.04 : x
  2. Step 2: Convert to fraction form
    510,918.54/705,067.74 = 284,564.04/x
  3. Step 3: Cross multiply
    510,918.54x = 705,067.74 × 284,564.04
  4. Step 4: Simplify right side
    510,918.54x = 200,636,924,568.07
  5. Step 5: Solve for x
    x = 200,636,924,568.07/510,918.54
  6. Step 6: Final answer
    x = 392,698.46

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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.