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Finding the Fourth Proportional to 289,912.29, 434,909.43 and 90,252.83

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Solution

The fourth proportional to 289,912.29, 434,909.43 and 90,252.83 is: 135,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,912.29 : 434,909.43 = 90,252.83 : x
  2. Step 2: Convert to fraction form
    289,912.29/434,909.43 = 90,252.83/x
  3. Step 3: Cross multiply
    289,912.29x = 434,909.43 × 90,252.83
  4. Step 4: Simplify right side
    289,912.29x = 39,251,804,676.64
  5. Step 5: Solve for x
    x = 39,251,804,676.64/289,912.29
  6. Step 6: Final answer
    x = 135,392.00

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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.