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Finding the Fourth Proportional to 398,122.50, 549,409.05 and 219,274.50

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Solution

The fourth proportional to 398,122.50, 549,409.05 and 219,274.50 is: 302,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,122.50 : 549,409.05 = 219,274.50 : x
  2. Step 2: Convert to fraction form
    398,122.50/549,409.05 = 219,274.50/x
  3. Step 3: Cross multiply
    398,122.50x = 549,409.05 × 219,274.50
  4. Step 4: Simplify right side
    398,122.50x = 120,471,394,734.23
  5. Step 5: Solve for x
    x = 120,471,394,734.23/398,122.50
  6. Step 6: Final answer
    x = 302,598.81

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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.