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Finding the Fourth Proportional to 510,072.60, 703,872 and 283,703.52

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Solution

The fourth proportional to 510,072.60, 703,872 and 283,703.52 is: 391,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,072.60 : 703,872 = 283,703.52 : x
  2. Step 2: Convert to fraction form
    510,072.60/703,872 = 283,703.52/x
  3. Step 3: Cross multiply
    510,072.60x = 703,872 × 283,703.52
  4. Step 4: Simplify right side
    510,072.60x = 199,690,964,029.44
  5. Step 5: Solve for x
    x = 199,690,964,029.44/510,072.60
  6. Step 6: Final answer
    x = 391,495.18

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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.