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Finding the Fourth Proportional to 512,301.60, 706,946.88 and 285,961.44

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Solution

The fourth proportional to 512,301.60, 706,946.88 and 285,961.44 is: 394,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,301.60 : 706,946.88 = 285,961.44 : x
  2. Step 2: Convert to fraction form
    512,301.60/706,946.88 = 285,961.44/x
  3. Step 3: Cross multiply
    512,301.60x = 706,946.88 × 285,961.44
  4. Step 4: Simplify right side
    512,301.60x = 202,159,547,808.31
  5. Step 5: Solve for x
    x = 202,159,547,808.31/512,301.60
  6. Step 6: Final answer
    x = 394,610.42

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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.