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Finding the Fourth Proportional to 384,900.66, 531,141.48 and 212,808.69

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Solution

The fourth proportional to 384,900.66, 531,141.48 and 212,808.69 is: 293,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,900.66 : 531,141.48 = 212,808.69 : x
  2. Step 2: Convert to fraction form
    384,900.66/531,141.48 = 212,808.69/x
  3. Step 3: Cross multiply
    384,900.66x = 531,141.48 × 212,808.69
  4. Step 4: Simplify right side
    384,900.66x = 113,031,522,563.46
  5. Step 5: Solve for x
    x = 113,031,522,563.46/384,900.66
  6. Step 6: Final answer
    x = 293,664.14

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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.