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Finding the Fourth Proportional to 408,014.60, 612,021.90 and 347,653.40

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Solution

The fourth proportional to 408,014.60, 612,021.90 and 347,653.40 is: 521,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,014.60 : 612,021.90 = 347,653.40 : x
  2. Step 2: Convert to fraction form
    408,014.60/612,021.90 = 347,653.40/x
  3. Step 3: Cross multiply
    408,014.60x = 612,021.90 × 347,653.40
  4. Step 4: Simplify right side
    408,014.60x = 212,771,494,409.46
  5. Step 5: Solve for x
    x = 212,771,494,409.46/408,014.60
  6. Step 6: Final answer
    x = 521,480.10

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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.