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Finding the Fourth Proportional to 289,592.46, 434,443.41 and 109,731.69

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Solution

The fourth proportional to 289,592.46, 434,443.41 and 109,731.69 is: 164,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,592.46 : 434,443.41 = 109,731.69 : x
  2. Step 2: Convert to fraction form
    289,592.46/434,443.41 = 109,731.69/x
  3. Step 3: Cross multiply
    289,592.46x = 434,443.41 × 109,731.69
  4. Step 4: Simplify right side
    289,592.46x = 47,672,209,588.66
  5. Step 5: Solve for x
    x = 47,672,209,588.66/289,592.46
  6. Step 6: Final answer
    x = 164,618.27

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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.