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Finding the Fourth Proportional to 408,076.40, 612,114.60 and 366,742.10

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Solution

The fourth proportional to 408,076.40, 612,114.60 and 366,742.10 is: 550,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,076.40 : 612,114.60 = 366,742.10 : x
  2. Step 2: Convert to fraction form
    408,076.40/612,114.60 = 366,742.10/x
  3. Step 3: Cross multiply
    408,076.40x = 612,114.60 × 366,742.10
  4. Step 4: Simplify right side
    408,076.40x = 224,488,193,844.66
  5. Step 5: Solve for x
    x = 224,488,193,844.66/408,076.40
  6. Step 6: Final answer
    x = 550,113.15

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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.