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Finding the Fourth Proportional to 323,868.20, 485,802.30 and 102,252.20

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Solution

The fourth proportional to 323,868.20, 485,802.30 and 102,252.20 is: 153,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,868.20 : 485,802.30 = 102,252.20 : x
  2. Step 2: Convert to fraction form
    323,868.20/485,802.30 = 102,252.20/x
  3. Step 3: Cross multiply
    323,868.20x = 485,802.30 × 102,252.20
  4. Step 4: Simplify right side
    323,868.20x = 49,674,353,940.06
  5. Step 5: Solve for x
    x = 49,674,353,940.06/323,868.20
  6. Step 6: Final answer
    x = 153,378.30

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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.