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Finding the Fourth Proportional to 430,690.82, 646,297.65 and 161,015.31

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Solution

The fourth proportional to 430,690.82, 646,297.65 and 161,015.31 is: 241,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,690.82 : 646,297.65 = 161,015.31 : x
  2. Step 2: Convert to fraction form
    430,690.82/646,297.65 = 161,015.31/x
  3. Step 3: Cross multiply
    430,690.82x = 646,297.65 × 161,015.31
  4. Step 4: Simplify right side
    430,690.82x = 104,063,816,467.02
  5. Step 5: Solve for x
    x = 104,063,816,467.02/430,690.82
  6. Step 6: Final answer
    x = 241,620.70

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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.