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Finding the Fourth Proportional to 317,427.80, 475,623.30 and 272,845.40

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Solution

The fourth proportional to 317,427.80, 475,623.30 and 272,845.40 is: 408,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,427.80 : 475,623.30 = 272,845.40 : x
  2. Step 2: Convert to fraction form
    317,427.80/475,623.30 = 272,845.40/x
  3. Step 3: Cross multiply
    317,427.80x = 475,623.30 × 272,845.40
  4. Step 4: Simplify right side
    317,427.80x = 129,771,629,537.82
  5. Step 5: Solve for x
    x = 129,771,629,537.82/317,427.80
  6. Step 6: Final answer
    x = 408,822.51

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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.