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Finding the Fourth Proportional to 384,254.54, 530,269.22 and 223,149.18

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Solution

The fourth proportional to 384,254.54, 530,269.22 and 223,149.18 is: 307,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,254.54 : 530,269.22 = 223,149.18 : x
  2. Step 2: Convert to fraction form
    384,254.54/530,269.22 = 223,149.18/x
  3. Step 3: Cross multiply
    384,254.54x = 530,269.22 × 223,149.18
  4. Step 4: Simplify right side
    384,254.54x = 118,329,142,180.11
  5. Step 5: Solve for x
    x = 118,329,142,180.11/384,254.54
  6. Step 6: Final answer
    x = 307,944.69

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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.