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Finding the Fourth Proportional to 515,409.45, 772,928.93 and 178,358.58

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Solution

The fourth proportional to 515,409.45, 772,928.93 and 178,358.58 is: 267,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,409.45 : 772,928.93 = 178,358.58 : x
  2. Step 2: Convert to fraction form
    515,409.45/772,928.93 = 178,358.58/x
  3. Step 3: Cross multiply
    515,409.45x = 772,928.93 × 178,358.58
  4. Step 4: Simplify right side
    515,409.45x = 137,858,509,015.48
  5. Step 5: Solve for x
    x = 137,858,509,015.48/515,409.45
  6. Step 6: Final answer
    x = 267,473.77

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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.