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Finding the Fourth Proportional to 384,325.60, 530,319.60 and 214,566.88

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Solution

The fourth proportional to 384,325.60, 530,319.60 and 214,566.88 is: 296,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,325.60 : 530,319.60 = 214,566.88 : x
  2. Step 2: Convert to fraction form
    384,325.60/530,319.60 = 214,566.88/x
  3. Step 3: Cross multiply
    384,325.60x = 530,319.60 × 214,566.88
  4. Step 4: Simplify right side
    384,325.60x = 113,789,021,974.85
  5. Step 5: Solve for x
    x = 113,789,021,974.85/384,325.60
  6. Step 6: Final answer
    x = 296,074.53

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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.