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Finding the Fourth Proportional to 427,812, 590,536.08 and 248,964

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Solution

The fourth proportional to 427,812, 590,536.08 and 248,964 is: 343,660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,812 : 590,536.08 = 248,964 : x
  2. Step 2: Convert to fraction form
    427,812/590,536.08 = 248,964/x
  3. Step 3: Cross multiply
    427,812x = 590,536.08 × 248,964
  4. Step 4: Simplify right side
    427,812x = 147,022,224,621.12
  5. Step 5: Solve for x
    x = 147,022,224,621.12/427,812
  6. Step 6: Final answer
    x = 343,660.82

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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.