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Finding the Fourth Proportional to 289,854.00, 434,783.79 and 109,891.03

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Solution

The fourth proportional to 289,854.00, 434,783.79 and 109,891.03 is: 164,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,854.00 : 434,783.79 = 109,891.03 : x
  2. Step 2: Convert to fraction form
    289,854.00/434,783.79 = 109,891.03/x
  3. Step 3: Cross multiply
    289,854.00x = 434,783.79 × 109,891.03
  4. Step 4: Simplify right side
    289,854.00x = 47,778,836,336.48
  5. Step 5: Solve for x
    x = 47,778,836,336.48/289,854.00
  6. Step 6: Final answer
    x = 164,837.60

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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.