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Finding the Fourth Proportional to 408,094.60, 612,141.90 and 283,678.60

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Solution

The fourth proportional to 408,094.60, 612,141.90 and 283,678.60 is: 425,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,094.60 : 612,141.90 = 283,678.60 : x
  2. Step 2: Convert to fraction form
    408,094.60/612,141.90 = 283,678.60/x
  3. Step 3: Cross multiply
    408,094.60x = 612,141.90 × 283,678.60
  4. Step 4: Simplify right side
    408,094.60x = 173,651,557,193.34
  5. Step 5: Solve for x
    x = 173,651,557,193.34/408,094.60
  6. Step 6: Final answer
    x = 425,517.90

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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.