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Finding the Fourth Proportional to 486,016.40, 728,940.54 and 219,714.98

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Solution

The fourth proportional to 486,016.40, 728,940.54 and 219,714.98 is: 329,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,016.40 : 728,940.54 = 219,714.98 : x
  2. Step 2: Convert to fraction form
    486,016.40/728,940.54 = 219,714.98/x
  3. Step 3: Cross multiply
    486,016.40x = 728,940.54 × 219,714.98
  4. Step 4: Simplify right side
    486,016.40x = 160,159,156,167.29
  5. Step 5: Solve for x
    x = 160,159,156,167.29/486,016.40
  6. Step 6: Final answer
    x = 329,534.47

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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.