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Finding the Fourth Proportional to 384,017.28, 529,969.32 and 214,255.02

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Solution

The fourth proportional to 384,017.28, 529,969.32 and 214,255.02 is: 295,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,017.28 : 529,969.32 = 214,255.02 : x
  2. Step 2: Convert to fraction form
    384,017.28/529,969.32 = 214,255.02/x
  3. Step 3: Cross multiply
    384,017.28x = 529,969.32 × 214,255.02
  4. Step 4: Simplify right side
    384,017.28x = 113,548,587,255.99
  5. Step 5: Solve for x
    x = 113,548,587,255.99/384,017.28
  6. Step 6: Final answer
    x = 295,686.14

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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.