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Finding the Fourth Proportional to 485,730.40, 728,422.80 and 219,618.40

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Solution

The fourth proportional to 485,730.40, 728,422.80 and 219,618.40 is: 329,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,730.40 : 728,422.80 = 219,618.40 : x
  2. Step 2: Convert to fraction form
    485,730.40/728,422.80 = 219,618.40/x
  3. Step 3: Cross multiply
    485,730.40x = 728,422.80 × 219,618.40
  4. Step 4: Simplify right side
    485,730.40x = 159,975,049,859.52
  5. Step 5: Solve for x
    x = 159,975,049,859.52/485,730.40
  6. Step 6: Final answer
    x = 329,349.47

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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.