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Finding the Fourth Proportional to 669,071, 1,003,409.67 and 195,643.82

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Solution

The fourth proportional to 669,071, 1,003,409.67 and 195,643.82 is: 293,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,071 : 1,003,409.67 = 195,643.82 : x
  2. Step 2: Convert to fraction form
    669,071/1,003,409.67 = 195,643.82/x
  3. Step 3: Cross multiply
    669,071x = 1,003,409.67 × 195,643.82
  4. Step 4: Simplify right side
    669,071x = 196,310,900,863.74
  5. Step 5: Solve for x
    x = 196,310,900,863.74/669,071
  6. Step 6: Final answer
    x = 293,408.17

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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.