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Finding the Fourth Proportional to 663,114.94, 994,866.48 and 213,826.77

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Solution

The fourth proportional to 663,114.94, 994,866.48 and 213,826.77 is: 320,802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,114.94 : 994,866.48 = 213,826.77 : x
  2. Step 2: Convert to fraction form
    663,114.94/994,866.48 = 213,826.77/x
  3. Step 3: Cross multiply
    663,114.94x = 994,866.48 × 213,826.77
  4. Step 4: Simplify right side
    663,114.94x = 212,729,085,999.67
  5. Step 5: Solve for x
    x = 212,729,085,999.67/663,114.94
  6. Step 6: Final answer
    x = 320,802.74

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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.