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Finding the Fourth Proportional to 289,895.80, 434,843.70 and 140,207.80

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Solution

The fourth proportional to 289,895.80, 434,843.70 and 140,207.80 is: 210,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,895.80 : 434,843.70 = 140,207.80 : x
  2. Step 2: Convert to fraction form
    289,895.80/434,843.70 = 140,207.80/x
  3. Step 3: Cross multiply
    289,895.80x = 434,843.70 × 140,207.80
  4. Step 4: Simplify right side
    289,895.80x = 60,968,478,520.86
  5. Step 5: Solve for x
    x = 60,968,478,520.86/289,895.80
  6. Step 6: Final answer
    x = 210,311.70

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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.