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Finding the Fourth Proportional to 282,396.60, 389,710.01 and 155,074.86

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Solution

The fourth proportional to 282,396.60, 389,710.01 and 155,074.86 is: 214,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,396.60 : 389,710.01 = 155,074.86 : x
  2. Step 2: Convert to fraction form
    282,396.60/389,710.01 = 155,074.86/x
  3. Step 3: Cross multiply
    282,396.60x = 389,710.01 × 155,074.86
  4. Step 4: Simplify right side
    282,396.60x = 60,434,225,241.35
  5. Step 5: Solve for x
    x = 60,434,225,241.35/282,396.60
  6. Step 6: Final answer
    x = 214,004.79

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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.