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Finding the Fourth Proportional to 203,519.79, 280,533.78 and 160,429.41

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Solution

The fourth proportional to 203,519.79, 280,533.78 and 160,429.41 is: 221,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,519.79 : 280,533.78 = 160,429.41 : x
  2. Step 2: Convert to fraction form
    203,519.79/280,533.78 = 160,429.41/x
  3. Step 3: Cross multiply
    203,519.79x = 280,533.78 × 160,429.41
  4. Step 4: Simplify right side
    203,519.79x = 45,005,868,810.47
  5. Step 5: Solve for x
    x = 45,005,868,810.47/203,519.79
  6. Step 6: Final answer
    x = 221,137.56

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1.5x scale

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.