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Finding the Fourth Proportional to 384,086.81, 530,039.85 and 212,004.84

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Solution

The fourth proportional to 384,086.81, 530,039.85 and 212,004.84 is: 292,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,086.81 : 530,039.85 = 212,004.84 : x
  2. Step 2: Convert to fraction form
    384,086.81/530,039.85 = 212,004.84/x
  3. Step 3: Cross multiply
    384,086.81x = 530,039.85 × 212,004.84
  4. Step 4: Simplify right side
    384,086.81x = 112,371,010,611.43
  5. Step 5: Solve for x
    x = 112,371,010,611.43/384,086.81
  6. Step 6: Final answer
    x = 292,566.70

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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.