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Finding the Fourth Proportional to 384,901.40, 531,142.48 and 212,809.44

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Solution

The fourth proportional to 384,901.40, 531,142.48 and 212,809.44 is: 293,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,901.40 : 531,142.48 = 212,809.44 : x
  2. Step 2: Convert to fraction form
    384,901.40/531,142.48 = 212,809.44/x
  3. Step 3: Cross multiply
    384,901.40x = 531,142.48 × 212,809.44
  4. Step 4: Simplify right side
    384,901.40x = 113,032,133,729.01
  5. Step 5: Solve for x
    x = 113,032,133,729.01/384,901.40
  6. Step 6: Final answer
    x = 293,665.17

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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.