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Finding the Fourth Proportional to 384,030.26, 529,961.80 and 214,264.40

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Solution

The fourth proportional to 384,030.26, 529,961.80 and 214,264.40 is: 295,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,030.26 : 529,961.80 = 214,264.40 : x
  2. Step 2: Convert to fraction form
    384,030.26/529,961.80 = 214,264.40/x
  3. Step 3: Cross multiply
    384,030.26x = 529,961.80 × 214,264.40
  4. Step 4: Simplify right side
    384,030.26x = 113,551,947,099.92
  5. Step 5: Solve for x
    x = 113,551,947,099.92/384,030.26
  6. Step 6: Final answer
    x = 295,684.89

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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.