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Finding the Fourth Proportional to 344,535.84, 516,803.76 and 203,868

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Solution

The fourth proportional to 344,535.84, 516,803.76 and 203,868 is: 305,802

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,535.84 : 516,803.76 = 203,868 : x
  2. Step 2: Convert to fraction form
    344,535.84/516,803.76 = 203,868/x
  3. Step 3: Cross multiply
    344,535.84x = 516,803.76 × 203,868
  4. Step 4: Simplify right side
    344,535.84x = 105,359,748,943.68
  5. Step 5: Solve for x
    x = 105,359,748,943.68/344,535.84
  6. Step 6: Final answer
    x = 305,802

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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.