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Finding the Fourth Proportional to 289,943.57, 434,945.21 and 100,403.57

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Solution

The fourth proportional to 289,943.57, 434,945.21 and 100,403.57 is: 150,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,943.57 : 434,945.21 = 100,403.57 : x
  2. Step 2: Convert to fraction form
    289,943.57/434,945.21 = 100,403.57/x
  3. Step 3: Cross multiply
    289,943.57x = 434,945.21 × 100,403.57
  4. Step 4: Simplify right side
    289,943.57x = 43,670,049,161.66
  5. Step 5: Solve for x
    x = 43,670,049,161.66/289,943.57
  6. Step 6: Final answer
    x = 150,615.69

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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.