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Finding the Fourth Proportional to 409,771.68, 565,482.60 and 228,485.78

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Solution

The fourth proportional to 409,771.68, 565,482.60 and 228,485.78 is: 315,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,771.68 : 565,482.60 = 228,485.78 : x
  2. Step 2: Convert to fraction form
    409,771.68/565,482.60 = 228,485.78/x
  3. Step 3: Cross multiply
    409,771.68x = 565,482.60 × 228,485.78
  4. Step 4: Simplify right side
    409,771.68x = 129,204,732,937.43
  5. Step 5: Solve for x
    x = 129,204,732,937.43/409,771.68
  6. Step 6: Final answer
    x = 315,309.08

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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.