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Finding the Fourth Proportional to 289,571.74, 434,412.22 and 109,711.10

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Solution

The fourth proportional to 289,571.74, 434,412.22 and 109,711.10 is: 164,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,571.74 : 434,412.22 = 109,711.10 : x
  2. Step 2: Convert to fraction form
    289,571.74/434,412.22 = 109,711.10/x
  3. Step 3: Cross multiply
    289,571.74x = 434,412.22 × 109,711.10
  4. Step 4: Simplify right side
    289,571.74x = 47,659,842,509.64
  5. Step 5: Solve for x
    x = 47,659,842,509.64/289,571.74
  6. Step 6: Final answer
    x = 164,587.34

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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.