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Finding the Fourth Proportional to 289,759.80, 434,639.70 and 279,262.20

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Solution

The fourth proportional to 289,759.80, 434,639.70 and 279,262.20 is: 418,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,759.80 : 434,639.70 = 279,262.20 : x
  2. Step 2: Convert to fraction form
    289,759.80/434,639.70 = 279,262.20/x
  3. Step 3: Cross multiply
    289,759.80x = 434,639.70 × 279,262.20
  4. Step 4: Simplify right side
    289,759.80x = 121,378,438,829.34
  5. Step 5: Solve for x
    x = 121,378,438,829.34/289,759.80
  6. Step 6: Final answer
    x = 418,893.30

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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.