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Finding the Fourth Proportional to 360,991, 498,175.64 and 197,663

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Solution

The fourth proportional to 360,991, 498,175.64 and 197,663 is: 272,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,991 : 498,175.64 = 197,663 : x
  2. Step 2: Convert to fraction form
    360,991/498,175.64 = 197,663/x
  3. Step 3: Cross multiply
    360,991x = 498,175.64 × 197,663
  4. Step 4: Simplify right side
    360,991x = 98,470,891,529.32
  5. Step 5: Solve for x
    x = 98,470,891,529.32/360,991
  6. Step 6: Final answer
    x = 272,779.35

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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.