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Finding the Fourth Proportional to 487,825.89, 731,738.84 and 321,575.01

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Solution

The fourth proportional to 487,825.89, 731,738.84 and 321,575.01 is: 482,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,825.89 : 731,738.84 = 321,575.01 : x
  2. Step 2: Convert to fraction form
    487,825.89/731,738.84 = 321,575.01/x
  3. Step 3: Cross multiply
    487,825.89x = 731,738.84 × 321,575.01
  4. Step 4: Simplify right side
    487,825.89x = 235,308,924,790.39
  5. Step 5: Solve for x
    x = 235,308,924,790.39/487,825.89
  6. Step 6: Final answer
    x = 482,362.52

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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.