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Finding the Fourth Proportional to 510,616.83, 704,656.37 and 281,195.45

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Solution

The fourth proportional to 510,616.83, 704,656.37 and 281,195.45 is: 388,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,616.83 : 704,656.37 = 281,195.45 : x
  2. Step 2: Convert to fraction form
    510,616.83/704,656.37 = 281,195.45/x
  3. Step 3: Cross multiply
    510,616.83x = 704,656.37 × 281,195.45
  4. Step 4: Simplify right side
    510,616.83x = 198,146,164,879.69
  5. Step 5: Solve for x
    x = 198,146,164,879.69/510,616.83
  6. Step 6: Final answer
    x = 388,052.55

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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.