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Finding the Fourth Proportional to 608,778.40, 913,292.16 and 209,367.20

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Solution

The fourth proportional to 608,778.40, 913,292.16 and 209,367.20 is: 314,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,778.40 : 913,292.16 = 209,367.20 : x
  2. Step 2: Convert to fraction form
    608,778.40/913,292.16 = 209,367.20/x
  3. Step 3: Cross multiply
    608,778.40x = 913,292.16 × 209,367.20
  4. Step 4: Simplify right side
    608,778.40x = 191,213,422,321.15
  5. Step 5: Solve for x
    x = 191,213,422,321.15/608,778.40
  6. Step 6: Final answer
    x = 314,093.64

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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.