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Finding the Fourth Proportional to 384,495.96, 530,568 and 223,346.64

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Solution

The fourth proportional to 384,495.96, 530,568 and 223,346.64 is: 308,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,495.96 : 530,568 = 223,346.64 : x
  2. Step 2: Convert to fraction form
    384,495.96/530,568 = 223,346.64/x
  3. Step 3: Cross multiply
    384,495.96x = 530,568 × 223,346.64
  4. Step 4: Simplify right side
    384,495.96x = 118,500,580,091.52
  5. Step 5: Solve for x
    x = 118,500,580,091.52/384,495.96
  6. Step 6: Final answer
    x = 308,197.20

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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.