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Finding the Fourth Proportional to 376,900, 520,141.86 and 213,588.16

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Solution

The fourth proportional to 376,900, 520,141.86 and 213,588.16 is: 294,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,900 : 520,141.86 = 213,588.16 : x
  2. Step 2: Convert to fraction form
    376,900/520,141.86 = 213,588.16/x
  3. Step 3: Cross multiply
    376,900x = 520,141.86 × 213,588.16
  4. Step 4: Simplify right side
    376,900x = 111,096,142,816.38
  5. Step 5: Solve for x
    x = 111,096,142,816.38/376,900
  6. Step 6: Final answer
    x = 294,762.92

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1.5x scale

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.