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Finding the Fourth Proportional to 399,306.60, 598,959.90 and 212,682.60

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Solution

The fourth proportional to 399,306.60, 598,959.90 and 212,682.60 is: 319,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,306.60 : 598,959.90 = 212,682.60 : x
  2. Step 2: Convert to fraction form
    399,306.60/598,959.90 = 212,682.60/x
  3. Step 3: Cross multiply
    399,306.60x = 598,959.90 × 212,682.60
  4. Step 4: Simplify right side
    399,306.60x = 127,388,348,827.74
  5. Step 5: Solve for x
    x = 127,388,348,827.74/399,306.60
  6. Step 6: Final answer
    x = 319,023.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.