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Finding the Fourth Proportional to 408,940.83, 613,536.36 and 209,402.40

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Solution

The fourth proportional to 408,940.83, 613,536.36 and 209,402.40 is: 314,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,940.83 : 613,536.36 = 209,402.40 : x
  2. Step 2: Convert to fraction form
    408,940.83/613,536.36 = 209,402.40/x
  3. Step 3: Cross multiply
    408,940.83x = 613,536.36 × 209,402.40
  4. Step 4: Simplify right side
    408,940.83x = 128,475,986,271.26
  5. Step 5: Solve for x
    x = 128,475,986,271.26/408,940.83
  6. Step 6: Final answer
    x = 314,167.67

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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.