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Finding the Fourth Proportional to 598,375.98, 824,619.15 and 428,314.86

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Solution

The fourth proportional to 598,375.98, 824,619.15 and 428,314.86 is: 590,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,375.98 : 824,619.15 = 428,314.86 : x
  2. Step 2: Convert to fraction form
    598,375.98/824,619.15 = 428,314.86/x
  3. Step 3: Cross multiply
    598,375.98x = 824,619.15 × 428,314.86
  4. Step 4: Simplify right side
    598,375.98x = 353,196,635,785.57
  5. Step 5: Solve for x
    x = 353,196,635,785.57/598,375.98
  6. Step 6: Final answer
    x = 590,258.71

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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.