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Finding the Fourth Proportional to 663,296.40, 994,701.60 and 214,135.20

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Solution

The fourth proportional to 663,296.40, 994,701.60 and 214,135.20 is: 321,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,296.40 : 994,701.60 = 214,135.20 : x
  2. Step 2: Convert to fraction form
    663,296.40/994,701.60 = 214,135.20/x
  3. Step 3: Cross multiply
    663,296.40x = 994,701.60 × 214,135.20
  4. Step 4: Simplify right side
    663,296.40x = 213,000,626,056.32
  5. Step 5: Solve for x
    x = 213,000,626,056.32/663,296.40
  6. Step 6: Final answer
    x = 321,124.35

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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.