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Finding the Fourth Proportional to 389,147.52, 582,780.72 and 322,094.04

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Solution

The fourth proportional to 389,147.52, 582,780.72 and 322,094.04 is: 482,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,147.52 : 582,780.72 = 322,094.04 : x
  2. Step 2: Convert to fraction form
    389,147.52/582,780.72 = 322,094.04/x
  3. Step 3: Cross multiply
    389,147.52x = 582,780.72 × 322,094.04
  4. Step 4: Simplify right side
    389,147.52x = 187,710,196,538.91
  5. Step 5: Solve for x
    x = 187,710,196,538.91/389,147.52
  6. Step 6: Final answer
    x = 482,362.57

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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.