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Finding the Fourth Proportional to 408,863.90, 613,421.44 and 209,324.40

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Solution

The fourth proportional to 408,863.90, 613,421.44 and 209,324.40 is: 314,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,863.90 : 613,421.44 = 209,324.40 : x
  2. Step 2: Convert to fraction form
    408,863.90/613,421.44 = 209,324.40/x
  3. Step 3: Cross multiply
    408,863.90x = 613,421.44 × 209,324.40
  4. Step 4: Simplify right side
    408,863.90x = 128,404,074,875.14
  5. Step 5: Solve for x
    x = 128,404,074,875.14/408,863.90
  6. Step 6: Final answer
    x = 314,050.90

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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.