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Finding the Fourth Proportional to 262,014.89, 361,214.37 and 221,566.32

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Solution

The fourth proportional to 262,014.89, 361,214.37 and 221,566.32 is: 305,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,014.89 : 361,214.37 = 221,566.32 : x
  2. Step 2: Convert to fraction form
    262,014.89/361,214.37 = 221,566.32/x
  3. Step 3: Cross multiply
    262,014.89x = 361,214.37 × 221,566.32
  4. Step 4: Simplify right side
    262,014.89x = 80,032,938,692.02
  5. Step 5: Solve for x
    x = 80,032,938,692.02/262,014.89
  6. Step 6: Final answer
    x = 305,451.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.