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Finding the Fourth Proportional to 384,007.56, 529,930.76 and 214,241.72

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Solution

The fourth proportional to 384,007.56, 529,930.76 and 214,241.72 is: 295,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,007.56 : 529,930.76 = 214,241.72 : x
  2. Step 2: Convert to fraction form
    384,007.56/529,930.76 = 214,241.72/x
  3. Step 3: Cross multiply
    384,007.56x = 529,930.76 × 214,241.72
  4. Step 4: Simplify right side
    384,007.56x = 113,533,277,503.31
  5. Step 5: Solve for x
    x = 113,533,277,503.31/384,007.56
  6. Step 6: Final answer
    x = 295,653.76

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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.