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Finding the Fourth Proportional to 510,451.16, 704,410.62 and 284,091.80

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Solution

The fourth proportional to 510,451.16, 704,410.62 and 284,091.80 is: 392,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,451.16 : 704,410.62 = 284,091.80 : x
  2. Step 2: Convert to fraction form
    510,451.16/704,410.62 = 284,091.80/x
  3. Step 3: Cross multiply
    510,451.16x = 704,410.62 × 284,091.80
  4. Step 4: Simplify right side
    510,451.16x = 200,117,280,974.92
  5. Step 5: Solve for x
    x = 200,117,280,974.92/510,451.16
  6. Step 6: Final answer
    x = 392,040.02

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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.