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Finding the Fourth Proportional to 289,468.52, 434,868.24 and 204,275.60

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Solution

The fourth proportional to 289,468.52, 434,868.24 and 204,275.60 is: 306,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,468.52 : 434,868.24 = 204,275.60 : x
  2. Step 2: Convert to fraction form
    289,468.52/434,868.24 = 204,275.60/x
  3. Step 3: Cross multiply
    289,468.52x = 434,868.24 × 204,275.60
  4. Step 4: Simplify right side
    289,468.52x = 88,832,970,646.94
  5. Step 5: Solve for x
    x = 88,832,970,646.94/289,468.52
  6. Step 6: Final answer
    x = 306,883.01

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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.