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Finding the Fourth Proportional to 510,479.66, 704,449.86 and 284,120.30

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Solution

The fourth proportional to 510,479.66, 704,449.86 and 284,120.30 is: 392,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,479.66 : 704,449.86 = 284,120.30 : x
  2. Step 2: Convert to fraction form
    510,479.66/704,449.86 = 284,120.30/x
  3. Step 3: Cross multiply
    510,479.66x = 704,449.86 × 284,120.30
  4. Step 4: Simplify right side
    510,479.66x = 200,148,505,558.16
  5. Step 5: Solve for x
    x = 200,148,505,558.16/510,479.66
  6. Step 6: Final answer
    x = 392,079.30

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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.