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Finding the Fourth Proportional to 512,227.64, 706,217.02 and 420,007.15

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Solution

The fourth proportional to 512,227.64, 706,217.02 and 420,007.15 is: 579,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,227.64 : 706,217.02 = 420,007.15 : x
  2. Step 2: Convert to fraction form
    512,227.64/706,217.02 = 420,007.15/x
  3. Step 3: Cross multiply
    512,227.64x = 706,217.02 × 420,007.15
  4. Step 4: Simplify right side
    512,227.64x = 296,616,197,851.69
  5. Step 5: Solve for x
    x = 296,616,197,851.69/512,227.64
  6. Step 6: Final answer
    x = 579,071.05

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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.