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Finding the Fourth Proportional to 510,506.24, 704,498.64 and 284,146.88

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Solution

The fourth proportional to 510,506.24, 704,498.64 and 284,146.88 is: 392,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,506.24 : 704,498.64 = 284,146.88 : x
  2. Step 2: Convert to fraction form
    510,506.24/704,498.64 = 284,146.88/x
  3. Step 3: Cross multiply
    510,506.24x = 704,498.64 × 284,146.88
  4. Step 4: Simplify right side
    510,506.24x = 200,181,090,520.24
  5. Step 5: Solve for x
    x = 200,181,090,520.24/510,506.24
  6. Step 6: Final answer
    x = 392,122.71

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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.