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Finding the Fourth Proportional to 515,735.67, 711,704.03 and 286,279.68

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Solution

The fourth proportional to 515,735.67, 711,704.03 and 286,279.68 is: 395,059.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,735.67 : 711,704.03 = 286,279.68 : x
  2. Step 2: Convert to fraction form
    515,735.67/711,704.03 = 286,279.68/x
  3. Step 3: Cross multiply
    515,735.67x = 711,704.03 × 286,279.68
  4. Step 4: Simplify right side
    515,735.67x = 203,746,400,531.71
  5. Step 5: Solve for x
    x = 203,746,400,531.71/515,735.67
  6. Step 6: Final answer
    x = 395,059.74

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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.