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Finding the Fourth Proportional to 588,420, 812,019.60 and 320,149.92

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Solution

The fourth proportional to 588,420, 812,019.60 and 320,149.92 is: 441,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,420 : 812,019.60 = 320,149.92 : x
  2. Step 2: Convert to fraction form
    588,420/812,019.60 = 320,149.92/x
  3. Step 3: Cross multiply
    588,420x = 812,019.60 × 320,149.92
  4. Step 4: Simplify right side
    588,420x = 259,968,009,978.43
  5. Step 5: Solve for x
    x = 259,968,009,978.43/588,420
  6. Step 6: Final answer
    x = 441,806.89

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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.