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Finding the Fourth Proportional to 510,216.43, 704,081 and 280,752.26

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Solution

The fourth proportional to 510,216.43, 704,081 and 280,752.26 is: 387,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,216.43 : 704,081 = 280,752.26 : x
  2. Step 2: Convert to fraction form
    510,216.43/704,081 = 280,752.26/x
  3. Step 3: Cross multiply
    510,216.43x = 704,081 × 280,752.26
  4. Step 4: Simplify right side
    510,216.43x = 197,672,328,452.66
  5. Step 5: Solve for x
    x = 197,672,328,452.66/510,216.43
  6. Step 6: Final answer
    x = 387,428.39

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1.5x scale

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.