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Finding the Fourth Proportional to 521,880, 720,194.88 and 283,416

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Solution

The fourth proportional to 521,880, 720,194.88 and 283,416 is: 391,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,880 : 720,194.88 = 283,416 : x
  2. Step 2: Convert to fraction form
    521,880/720,194.88 = 283,416/x
  3. Step 3: Cross multiply
    521,880x = 720,194.88 × 283,416
  4. Step 4: Simplify right side
    521,880x = 204,114,752,110.08
  5. Step 5: Solve for x
    x = 204,114,752,110.08/521,880
  6. Step 6: Final answer
    x = 391,114.34

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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.