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Finding the Fourth Proportional to 384,901.46, 531,142.44 and 212,809.40

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Solution

The fourth proportional to 384,901.46, 531,142.44 and 212,809.40 is: 293,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,901.46 : 531,142.44 = 212,809.40 : x
  2. Step 2: Convert to fraction form
    384,901.46/531,142.44 = 212,809.40/x
  3. Step 3: Cross multiply
    384,901.46x = 531,142.44 × 212,809.40
  4. Step 4: Simplify right side
    384,901.46x = 113,032,103,970.94
  5. Step 5: Solve for x
    x = 113,032,103,970.94/384,901.46
  6. Step 6: Final answer
    x = 293,665.04

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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.