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Finding the Fourth Proportional to 631,928.56, 947,894.64 and 182,686

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Solution

The fourth proportional to 631,928.56, 947,894.64 and 182,686 is: 274,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,928.56 : 947,894.64 = 182,686 : x
  2. Step 2: Convert to fraction form
    631,928.56/947,894.64 = 182,686/x
  3. Step 3: Cross multiply
    631,928.56x = 947,894.64 × 182,686
  4. Step 4: Simplify right side
    631,928.56x = 173,167,080,203.04
  5. Step 5: Solve for x
    x = 173,167,080,203.04/631,928.56
  6. Step 6: Final answer
    x = 274,029.52

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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.