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Finding the Fourth Proportional to 384,816.70, 531,026.23 and 212,724.40

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Solution

The fourth proportional to 384,816.70, 531,026.23 and 212,724.40 is: 293,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,816.70 : 531,026.23 = 212,724.40 : x
  2. Step 2: Convert to fraction form
    384,816.70/531,026.23 = 212,724.40/x
  3. Step 3: Cross multiply
    384,816.70x = 531,026.23 × 212,724.40
  4. Step 4: Simplify right side
    384,816.70x = 112,962,237,189.68
  5. Step 5: Solve for x
    x = 112,962,237,189.68/384,816.70
  6. Step 6: Final answer
    x = 293,548.17

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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.