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Finding the Fourth Proportional to 289,424.52, 433,786.86 and 149,106.60

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Solution

The fourth proportional to 289,424.52, 433,786.86 and 149,106.60 is: 223,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,424.52 : 433,786.86 = 149,106.60 : x
  2. Step 2: Convert to fraction form
    289,424.52/433,786.86 = 149,106.60/x
  3. Step 3: Cross multiply
    289,424.52x = 433,786.86 × 149,106.60
  4. Step 4: Simplify right side
    289,424.52x = 64,680,483,819.28
  5. Step 5: Solve for x
    x = 64,680,483,819.28/289,424.52
  6. Step 6: Final answer
    x = 223,479.63

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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.