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Finding the Fourth Proportional to 235,409.40, 353,114.10 and 209,604.60

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Solution

The fourth proportional to 235,409.40, 353,114.10 and 209,604.60 is: 314,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,409.40 : 353,114.10 = 209,604.60 : x
  2. Step 2: Convert to fraction form
    235,409.40/353,114.10 = 209,604.60/x
  3. Step 3: Cross multiply
    235,409.40x = 353,114.10 × 209,604.60
  4. Step 4: Simplify right side
    235,409.40x = 74,014,339,684.86
  5. Step 5: Solve for x
    x = 74,014,339,684.86/235,409.40
  6. Step 6: Final answer
    x = 314,406.90

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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.