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Finding the Fourth Proportional to 408,906.40, 613,359.60 and 390,535.60

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Solution

The fourth proportional to 408,906.40, 613,359.60 and 390,535.60 is: 585,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,906.40 : 613,359.60 = 390,535.60 : x
  2. Step 2: Convert to fraction form
    408,906.40/613,359.60 = 390,535.60/x
  3. Step 3: Cross multiply
    408,906.40x = 613,359.60 × 390,535.60
  4. Step 4: Simplify right side
    408,906.40x = 239,538,759,401.76
  5. Step 5: Solve for x
    x = 239,538,759,401.76/408,906.40
  6. Step 6: Final answer
    x = 585,803.40

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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.