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Finding the Fourth Proportional to 408,438.80, 613,241.40 and 319,792.40

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Solution

The fourth proportional to 408,438.80, 613,241.40 and 319,792.40 is: 480,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,438.80 : 613,241.40 = 319,792.40 : x
  2. Step 2: Convert to fraction form
    408,438.80/613,241.40 = 319,792.40/x
  3. Step 3: Cross multiply
    408,438.80x = 613,241.40 × 319,792.40
  4. Step 4: Simplify right side
    408,438.80x = 196,109,939,085.36
  5. Step 5: Solve for x
    x = 196,109,939,085.36/408,438.80
  6. Step 6: Final answer
    x = 480,145.22

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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.