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Finding the Fourth Proportional to 309,903.56, 465,104.44 and 160,187.76

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Solution

The fourth proportional to 309,903.56, 465,104.44 and 160,187.76 is: 240,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,903.56 : 465,104.44 = 160,187.76 : x
  2. Step 2: Convert to fraction form
    309,903.56/465,104.44 = 160,187.76/x
  3. Step 3: Cross multiply
    309,903.56x = 465,104.44 × 160,187.76
  4. Step 4: Simplify right side
    309,903.56x = 74,504,038,409.65
  5. Step 5: Solve for x
    x = 74,504,038,409.65/309,903.56
  6. Step 6: Final answer
    x = 240,410.40

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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.