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Finding the Fourth Proportional to 357,689.87, 493,611.89 and 196,555.31

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Solution

The fourth proportional to 357,689.87, 493,611.89 and 196,555.31 is: 271,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,689.87 : 493,611.89 = 196,555.31 : x
  2. Step 2: Convert to fraction form
    357,689.87/493,611.89 = 196,555.31/x
  3. Step 3: Cross multiply
    357,689.87x = 493,611.89 × 196,555.31
  4. Step 4: Simplify right side
    357,689.87x = 97,022,038,309.89
  5. Step 5: Solve for x
    x = 97,022,038,309.89/357,689.87
  6. Step 6: Final answer
    x = 271,246.25

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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.