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Finding the Fourth Proportional to 398,447.10, 549,876.47 and 224,072.19

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Solution

The fourth proportional to 398,447.10, 549,876.47 and 224,072.19 is: 309,230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,447.10 : 549,876.47 = 224,072.19 : x
  2. Step 2: Convert to fraction form
    398,447.10/549,876.47 = 224,072.19/x
  3. Step 3: Cross multiply
    398,447.10x = 549,876.47 × 224,072.19
  4. Step 4: Simplify right side
    398,447.10x = 123,212,023,742.01
  5. Step 5: Solve for x
    x = 123,212,023,742.01/398,447.10
  6. Step 6: Final answer
    x = 309,230.57

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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.