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Finding the Fourth Proportional to 535,315.95, 738,667.49 and 305,887.86

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Solution

The fourth proportional to 535,315.95, 738,667.49 and 305,887.86 is: 422,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,315.95 : 738,667.49 = 305,887.86 : x
  2. Step 2: Convert to fraction form
    535,315.95/738,667.49 = 305,887.86/x
  3. Step 3: Cross multiply
    535,315.95x = 738,667.49 × 305,887.86
  4. Step 4: Simplify right side
    535,315.95x = 225,949,416,238.23
  5. Step 5: Solve for x
    x = 225,949,416,238.23/535,315.95
  6. Step 6: Final answer
    x = 422,086.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.