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Finding the Fourth Proportional to 288,068.60, 431,735.70 and 161,708.60

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Solution

The fourth proportional to 288,068.60, 431,735.70 and 161,708.60 is: 242,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,068.60 : 431,735.70 = 161,708.60 : x
  2. Step 2: Convert to fraction form
    288,068.60/431,735.70 = 161,708.60/x
  3. Step 3: Cross multiply
    288,068.60x = 431,735.70 × 161,708.60
  4. Step 4: Simplify right side
    288,068.60x = 69,815,375,617.02
  5. Step 5: Solve for x
    x = 69,815,375,617.02/288,068.60
  6. Step 6: Final answer
    x = 242,356.77

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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.