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Finding the Fourth Proportional to 320,285.50, 480,428.28 and 130,835.27

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Solution

The fourth proportional to 320,285.50, 480,428.28 and 130,835.27 is: 196,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,285.50 : 480,428.28 = 130,835.27 : x
  2. Step 2: Convert to fraction form
    320,285.50/480,428.28 = 130,835.27/x
  3. Step 3: Cross multiply
    320,285.50x = 480,428.28 × 130,835.27
  4. Step 4: Simplify right side
    320,285.50x = 62,856,964,930.51
  5. Step 5: Solve for x
    x = 62,856,964,930.51/320,285.50
  6. Step 6: Final answer
    x = 196,252.92

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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.