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Finding the Fourth Proportional to 408,692.76, 563,946.48 and 227,361.84

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Solution

The fourth proportional to 408,692.76, 563,946.48 and 227,361.84 is: 313,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,692.76 : 563,946.48 = 227,361.84 : x
  2. Step 2: Convert to fraction form
    408,692.76/563,946.48 = 227,361.84/x
  3. Step 3: Cross multiply
    408,692.76x = 563,946.48 × 227,361.84
  4. Step 4: Simplify right side
    408,692.76x = 128,219,909,354.32
  5. Step 5: Solve for x
    x = 128,219,909,354.32/408,692.76
  6. Step 6: Final answer
    x = 313,731.79

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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.