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Finding the Fourth Proportional to 289,723, 434,333.34 and 112,107.80

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Solution

The fourth proportional to 289,723, 434,333.34 and 112,107.80 is: 168,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,723 : 434,333.34 = 112,107.80 : x
  2. Step 2: Convert to fraction form
    289,723/434,333.34 = 112,107.80/x
  3. Step 3: Cross multiply
    289,723x = 434,333.34 × 112,107.80
  4. Step 4: Simplify right side
    289,723x = 48,692,155,214.05
  5. Step 5: Solve for x
    x = 48,692,155,214.05/289,723
  6. Step 6: Final answer
    x = 168,064.51

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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.