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Finding the Fourth Proportional to 447,142.64, 616,874.75 and 253,509.58

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Solution

The fourth proportional to 447,142.64, 616,874.75 and 253,509.58 is: 349,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,142.64 : 616,874.75 = 253,509.58 : x
  2. Step 2: Convert to fraction form
    447,142.64/616,874.75 = 253,509.58/x
  3. Step 3: Cross multiply
    447,142.64x = 616,874.75 × 253,509.58
  4. Step 4: Simplify right side
    447,142.64x = 156,383,655,700.73
  5. Step 5: Solve for x
    x = 156,383,655,700.73/447,142.64
  6. Step 6: Final answer
    x = 349,739.97

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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.