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Finding the Fourth Proportional to 375,776.64, 518,576 and 214,652.96

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Solution

The fourth proportional to 375,776.64, 518,576 and 214,652.96 is: 296,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,776.64 : 518,576 = 214,652.96 : x
  2. Step 2: Convert to fraction form
    375,776.64/518,576 = 214,652.96/x
  3. Step 3: Cross multiply
    375,776.64x = 518,576 × 214,652.96
  4. Step 4: Simplify right side
    375,776.64x = 111,313,873,384.96
  5. Step 5: Solve for x
    x = 111,313,873,384.96/375,776.64
  6. Step 6: Final answer
    x = 296,223.50

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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.