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Finding the Fourth Proportional to 262,783.20, 393,721.20 and 122,253.60

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Solution

The fourth proportional to 262,783.20, 393,721.20 and 122,253.60 is: 183,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,783.20 : 393,721.20 = 122,253.60 : x
  2. Step 2: Convert to fraction form
    262,783.20/393,721.20 = 122,253.60/x
  3. Step 3: Cross multiply
    262,783.20x = 393,721.20 × 122,253.60
  4. Step 4: Simplify right side
    262,783.20x = 48,133,834,096.32
  5. Step 5: Solve for x
    x = 48,133,834,096.32/262,783.20
  6. Step 6: Final answer
    x = 183,169.37

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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.