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Finding the Fourth Proportional to 510,884.92, 705,021.20 and 284,530.40

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Solution

The fourth proportional to 510,884.92, 705,021.20 and 284,530.40 is: 392,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,884.92 : 705,021.20 = 284,530.40 : x
  2. Step 2: Convert to fraction form
    510,884.92/705,021.20 = 284,530.40/x
  3. Step 3: Cross multiply
    510,884.92x = 705,021.20 × 284,530.40
  4. Step 4: Simplify right side
    510,884.92x = 200,599,964,044.48
  5. Step 5: Solve for x
    x = 200,599,964,044.48/510,884.92
  6. Step 6: Final answer
    x = 392,651.96

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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.