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Finding the Fourth Proportional to 384,460.96, 530,571.14 and 212,387.80

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Solution

The fourth proportional to 384,460.96, 530,571.14 and 212,387.80 is: 293,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,460.96 : 530,571.14 = 212,387.80 : x
  2. Step 2: Convert to fraction form
    384,460.96/530,571.14 = 212,387.80/x
  3. Step 3: Cross multiply
    384,460.96x = 530,571.14 × 212,387.80
  4. Step 4: Simplify right side
    384,460.96x = 112,686,837,168.09
  5. Step 5: Solve for x
    x = 112,686,837,168.09/384,460.96
  6. Step 6: Final answer
    x = 293,103.46

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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.