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Finding the Fourth Proportional to 384,018.72, 529,947.36 and 214,260

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Solution

The fourth proportional to 384,018.72, 529,947.36 and 214,260 is: 295,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,018.72 : 529,947.36 = 214,260 : x
  2. Step 2: Convert to fraction form
    384,018.72/529,947.36 = 214,260/x
  3. Step 3: Cross multiply
    384,018.72x = 529,947.36 × 214,260
  4. Step 4: Simplify right side
    384,018.72x = 113,546,521,353.60
  5. Step 5: Solve for x
    x = 113,546,521,353.60/384,018.72
  6. Step 6: Final answer
    x = 295,679.65

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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.