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Finding the Fourth Proportional to 398,368.89, 549,735.12 and 223,933.77

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Solution

The fourth proportional to 398,368.89, 549,735.12 and 223,933.77 is: 309,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,368.89 : 549,735.12 = 223,933.77 : x
  2. Step 2: Convert to fraction form
    398,368.89/549,735.12 = 223,933.77/x
  3. Step 3: Cross multiply
    398,368.89x = 549,735.12 × 223,933.77
  4. Step 4: Simplify right side
    398,368.89x = 123,104,257,923.00
  5. Step 5: Solve for x
    x = 123,104,257,923.00/398,368.89
  6. Step 6: Final answer
    x = 309,020.76

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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.