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Finding the Fourth Proportional to 289,213.70, 433,820.55 and 131,749.70

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Solution

The fourth proportional to 289,213.70, 433,820.55 and 131,749.70 is: 197,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,213.70 : 433,820.55 = 131,749.70 : x
  2. Step 2: Convert to fraction form
    289,213.70/433,820.55 = 131,749.70/x
  3. Step 3: Cross multiply
    289,213.70x = 433,820.55 × 131,749.70
  4. Step 4: Simplify right side
    289,213.70x = 57,155,727,316.34
  5. Step 5: Solve for x
    x = 57,155,727,316.34/289,213.70
  6. Step 6: Final answer
    x = 197,624.55

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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.