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Finding the Fourth Proportional to 398,414.40, 549,749.03 and 223,950.22

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Solution

The fourth proportional to 398,414.40, 549,749.03 and 223,950.22 is: 309,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,414.40 : 549,749.03 = 223,950.22 : x
  2. Step 2: Convert to fraction form
    398,414.40/549,749.03 = 223,950.22/x
  3. Step 3: Cross multiply
    398,414.40x = 549,749.03 × 223,950.22
  4. Step 4: Simplify right side
    398,414.40x = 123,116,413,719.16
  5. Step 5: Solve for x
    x = 123,116,413,719.16/398,414.40
  6. Step 6: Final answer
    x = 309,015.98

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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.