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Finding the Fourth Proportional to 485,516, 728,274 and 153,092

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Solution

The fourth proportional to 485,516, 728,274 and 153,092 is: 229,638

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,516 : 728,274 = 153,092 : x
  2. Step 2: Convert to fraction form
    485,516/728,274 = 153,092/x
  3. Step 3: Cross multiply
    485,516x = 728,274 × 153,092
  4. Step 4: Simplify right side
    485,516x = 111,492,923,208
  5. Step 5: Solve for x
    x = 111,492,923,208/485,516
  6. Step 6: Final answer
    x = 229,638

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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.