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Finding the Fourth Proportional to 317,725.94, 438,352.16 and 203,071.70

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Solution

The fourth proportional to 317,725.94, 438,352.16 and 203,071.70 is: 280,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,725.94 : 438,352.16 = 203,071.70 : x
  2. Step 2: Convert to fraction form
    317,725.94/438,352.16 = 203,071.70/x
  3. Step 3: Cross multiply
    317,725.94x = 438,352.16 × 203,071.70
  4. Step 4: Simplify right side
    317,725.94x = 89,016,918,329.87
  5. Step 5: Solve for x
    x = 89,016,918,329.87/317,725.94
  6. Step 6: Final answer
    x = 280,168.87

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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.