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Finding the Fourth Proportional to 460,626.80, 635,374.22 and 317,137.72

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Solution

The fourth proportional to 460,626.80, 635,374.22 and 317,137.72 is: 437,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,626.80 : 635,374.22 = 317,137.72 : x
  2. Step 2: Convert to fraction form
    460,626.80/635,374.22 = 317,137.72/x
  3. Step 3: Cross multiply
    460,626.80x = 635,374.22 × 317,137.72
  4. Step 4: Simplify right side
    460,626.80x = 201,501,131,477.58
  5. Step 5: Solve for x
    x = 201,501,131,477.58/460,626.80
  6. Step 6: Final answer
    x = 437,449.87

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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.