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Finding the Fourth Proportional to 409,832, 565,585.44 and 230,984

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Solution

The fourth proportional to 409,832, 565,585.44 and 230,984 is: 318,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,832 : 565,585.44 = 230,984 : x
  2. Step 2: Convert to fraction form
    409,832/565,585.44 = 230,984/x
  3. Step 3: Cross multiply
    409,832x = 565,585.44 × 230,984
  4. Step 4: Simplify right side
    409,832x = 130,641,187,272.96
  5. Step 5: Solve for x
    x = 130,641,187,272.96/409,832
  6. Step 6: Final answer
    x = 318,767.66

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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.