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Finding the Fourth Proportional to 384,478.65, 530,490.60 and 223,236.54

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Solution

The fourth proportional to 384,478.65, 530,490.60 and 223,236.54 is: 308,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,478.65 : 530,490.60 = 223,236.54 : x
  2. Step 2: Convert to fraction form
    384,478.65/530,490.60 = 223,236.54/x
  3. Step 3: Cross multiply
    384,478.65x = 530,490.60 × 223,236.54
  4. Step 4: Simplify right side
    384,478.65x = 118,424,886,046.52
  5. Step 5: Solve for x
    x = 118,424,886,046.52/384,478.65
  6. Step 6: Final answer
    x = 308,014.21

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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.