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Finding the Fourth Proportional to 510,616.84, 704,645.29 and 281,169.35

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Solution

The fourth proportional to 510,616.84, 704,645.29 and 281,169.35 is: 388,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,616.84 : 704,645.29 = 281,169.35 : x
  2. Step 2: Convert to fraction form
    510,616.84/704,645.29 = 281,169.35/x
  3. Step 3: Cross multiply
    510,616.84x = 704,645.29 × 281,169.35
  4. Step 4: Simplify right side
    510,616.84x = 198,124,658,169.86
  5. Step 5: Solve for x
    x = 198,124,658,169.86/510,616.84
  6. Step 6: Final answer
    x = 388,010.43

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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.