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Finding the Fourth Proportional to 289,027.60, 434,059.80 and 279,696.40

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Solution

The fourth proportional to 289,027.60, 434,059.80 and 279,696.40 is: 420,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,027.60 : 434,059.80 = 279,696.40 : x
  2. Step 2: Convert to fraction form
    289,027.60/434,059.80 = 279,696.40/x
  3. Step 3: Cross multiply
    289,027.60x = 434,059.80 × 279,696.40
  4. Step 4: Simplify right side
    289,027.60x = 121,404,963,444.72
  5. Step 5: Solve for x
    x = 121,404,963,444.72/289,027.60
  6. Step 6: Final answer
    x = 420,046.26

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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.