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Finding the Fourth Proportional to 485,520, 728,280 and 153,096

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Solution

The fourth proportional to 485,520, 728,280 and 153,096 is: 229,644

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,520 : 728,280 = 153,096 : x
  2. Step 2: Convert to fraction form
    485,520/728,280 = 153,096/x
  3. Step 3: Cross multiply
    485,520x = 728,280 × 153,096
  4. Step 4: Simplify right side
    485,520x = 111,496,754,880
  5. Step 5: Solve for x
    x = 111,496,754,880/485,520
  6. Step 6: Final answer
    x = 229,644

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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.