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Finding the Fourth Proportional to 287,928.50, 397,316.42 and 185,958.41

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Solution

The fourth proportional to 287,928.50, 397,316.42 and 185,958.41 is: 256,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,928.50 : 397,316.42 = 185,958.41 : x
  2. Step 2: Convert to fraction form
    287,928.50/397,316.42 = 185,958.41/x
  3. Step 3: Cross multiply
    287,928.50x = 397,316.42 × 185,958.41
  4. Step 4: Simplify right side
    287,928.50x = 73,884,329,730.09
  5. Step 5: Solve for x
    x = 73,884,329,730.09/287,928.50
  6. Step 6: Final answer
    x = 256,606.52

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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.