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Finding the Fourth Proportional to 510,605.60, 704,616.72 and 284,246.24

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Solution

The fourth proportional to 510,605.60, 704,616.72 and 284,246.24 is: 392,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,605.60 : 704,616.72 = 284,246.24 : x
  2. Step 2: Convert to fraction form
    510,605.60/704,616.72 = 284,246.24/x
  3. Step 3: Cross multiply
    510,605.60x = 704,616.72 × 284,246.24
  4. Step 4: Simplify right side
    510,605.60x = 200,284,653,301.13
  5. Step 5: Solve for x
    x = 200,284,653,301.13/510,605.60
  6. Step 6: Final answer
    x = 392,249.23

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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.