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Finding the Fourth Proportional to 289,806.52, 434,711.28 and 131,924.56

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Solution

The fourth proportional to 289,806.52, 434,711.28 and 131,924.56 is: 197,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,806.52 : 434,711.28 = 131,924.56 : x
  2. Step 2: Convert to fraction form
    289,806.52/434,711.28 = 131,924.56/x
  3. Step 3: Cross multiply
    289,806.52x = 434,711.28 × 131,924.56
  4. Step 4: Simplify right side
    289,806.52x = 57,349,094,341.04
  5. Step 5: Solve for x
    x = 57,349,094,341.04/289,806.52
  6. Step 6: Final answer
    x = 197,887.52

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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.