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Finding the Fourth Proportional to 512,225.64, 706,214.26 and 420,005.15

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Solution

The fourth proportional to 512,225.64, 706,214.26 and 420,005.15 is: 579,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,225.64 : 706,214.26 = 420,005.15 : x
  2. Step 2: Convert to fraction form
    512,225.64/706,214.26 = 420,005.15/x
  3. Step 3: Cross multiply
    512,225.64x = 706,214.26 × 420,005.15
  4. Step 4: Simplify right side
    512,225.64x = 296,613,626,203.44
  5. Step 5: Solve for x
    x = 296,613,626,203.44/512,225.64
  6. Step 6: Final answer
    x = 579,068.29

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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.