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Finding the Fourth Proportional to 437,305.60, 656,265.60 and 188,166.40

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Solution

The fourth proportional to 437,305.60, 656,265.60 and 188,166.40 is: 282,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,305.60 : 656,265.60 = 188,166.40 : x
  2. Step 2: Convert to fraction form
    437,305.60/656,265.60 = 188,166.40/x
  3. Step 3: Cross multiply
    437,305.60x = 656,265.60 × 188,166.40
  4. Step 4: Simplify right side
    437,305.60x = 123,487,135,395.84
  5. Step 5: Solve for x
    x = 123,487,135,395.84/437,305.60
  6. Step 6: Final answer
    x = 282,381.78

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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.