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Finding the Fourth Proportional to 398,138, 549,430.44 and 219,290

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Solution

The fourth proportional to 398,138, 549,430.44 and 219,290 is: 302,620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,138 : 549,430.44 = 219,290 : x
  2. Step 2: Convert to fraction form
    398,138/549,430.44 = 219,290/x
  3. Step 3: Cross multiply
    398,138x = 549,430.44 × 219,290
  4. Step 4: Simplify right side
    398,138x = 120,484,601,187.60
  5. Step 5: Solve for x
    x = 120,484,601,187.60/398,138
  6. Step 6: Final answer
    x = 302,620.20

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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.