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Finding the Fourth Proportional to 289,533.54, 434,358.34 and 100,000.86

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Solution

The fourth proportional to 289,533.54, 434,358.34 and 100,000.86 is: 150,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,533.54 : 434,358.34 = 100,000.86 : x
  2. Step 2: Convert to fraction form
    289,533.54/434,358.34 = 100,000.86/x
  3. Step 3: Cross multiply
    289,533.54x = 434,358.34 × 100,000.86
  4. Step 4: Simplify right side
    289,533.54x = 43,436,207,548.17
  5. Step 5: Solve for x
    x = 43,436,207,548.17/289,533.54
  6. Step 6: Final answer
    x = 150,021.33

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1.5x scale

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.