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Finding the Fourth Proportional to 203,288.94, 280,542.80 and 118,411.47

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Solution

The fourth proportional to 203,288.94, 280,542.80 and 118,411.47 is: 163,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,288.94 : 280,542.80 = 118,411.47 : x
  2. Step 2: Convert to fraction form
    203,288.94/280,542.80 = 118,411.47/x
  3. Step 3: Cross multiply
    203,288.94x = 280,542.80 × 118,411.47
  4. Step 4: Simplify right side
    203,288.94x = 33,219,486,343.30
  5. Step 5: Solve for x
    x = 33,219,486,343.30/203,288.94
  6. Step 6: Final answer
    x = 163,410.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.