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Finding the Fourth Proportional to 512,224.64, 706,212.88 and 420,004.15

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Solution

The fourth proportional to 512,224.64, 706,212.88 and 420,004.15 is: 579,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,224.64 : 706,212.88 = 420,004.15 : x
  2. Step 2: Convert to fraction form
    512,224.64/706,212.88 = 420,004.15/x
  3. Step 3: Cross multiply
    512,224.64x = 706,212.88 × 420,004.15
  4. Step 4: Simplify right side
    512,224.64x = 296,612,340,383.45
  5. Step 5: Solve for x
    x = 296,612,340,383.45/512,224.64
  6. Step 6: Final answer
    x = 579,066.91

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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.