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Finding the Fourth Proportional to 510,854.72, 704,415.84 and 349,736

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Solution

The fourth proportional to 510,854.72, 704,415.84 and 349,736 is: 482,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,854.72 : 704,415.84 = 349,736 : x
  2. Step 2: Convert to fraction form
    510,854.72/704,415.84 = 349,736/x
  3. Step 3: Cross multiply
    510,854.72x = 704,415.84 × 349,736
  4. Step 4: Simplify right side
    510,854.72x = 246,359,578,218.24
  5. Step 5: Solve for x
    x = 246,359,578,218.24/510,854.72
  6. Step 6: Final answer
    x = 482,249.78

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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.