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Finding the Fourth Proportional to 384,122.88, 530,090.01 and 214,356.96

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Solution

The fourth proportional to 384,122.88, 530,090.01 and 214,356.96 is: 295,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,122.88 : 530,090.01 = 214,356.96 : x
  2. Step 2: Convert to fraction form
    384,122.88/530,090.01 = 214,356.96/x
  3. Step 3: Cross multiply
    384,122.88x = 530,090.01 × 214,356.96
  4. Step 4: Simplify right side
    384,122.88x = 113,628,483,069.97
  5. Step 5: Solve for x
    x = 113,628,483,069.97/384,122.88
  6. Step 6: Final answer
    x = 295,812.85

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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.