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Finding the Fourth Proportional to 510,635.64, 704,678.22 and 284,289.24

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Solution

The fourth proportional to 510,635.64, 704,678.22 and 284,289.24 is: 392,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,635.64 : 704,678.22 = 284,289.24 : x
  2. Step 2: Convert to fraction form
    510,635.64/704,678.22 = 284,289.24/x
  3. Step 3: Cross multiply
    510,635.64x = 704,678.22 × 284,289.24
  4. Step 4: Simplify right side
    510,635.64x = 200,332,435,608.35
  5. Step 5: Solve for x
    x = 200,332,435,608.35/510,635.64
  6. Step 6: Final answer
    x = 392,319.73

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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.