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Finding the Fourth Proportional to 485,517, 728,275.50 and 153,093

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Solution

The fourth proportional to 485,517, 728,275.50 and 153,093 is: 229,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,517 : 728,275.50 = 153,093 : x
  2. Step 2: Convert to fraction form
    485,517/728,275.50 = 153,093/x
  3. Step 3: Cross multiply
    485,517x = 728,275.50 × 153,093
  4. Step 4: Simplify right side
    485,517x = 111,493,881,121.50
  5. Step 5: Solve for x
    x = 111,493,881,121.50/485,517
  6. Step 6: Final answer
    x = 229,639.50

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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.