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Finding the Fourth Proportional to 400,692.43, 552,956.52 and 219,416.32

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Solution

The fourth proportional to 400,692.43, 552,956.52 and 219,416.32 is: 302,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,692.43 : 552,956.52 = 219,416.32 : x
  2. Step 2: Convert to fraction form
    400,692.43/552,956.52 = 219,416.32/x
  3. Step 3: Cross multiply
    400,692.43x = 552,956.52 × 219,416.32
  4. Step 4: Simplify right side
    400,692.43x = 121,327,684,738.41
  5. Step 5: Solve for x
    x = 121,327,684,738.41/400,692.43
  6. Step 6: Final answer
    x = 302,795.05

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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.