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Finding the Fourth Proportional to 398,518.94, 549,945.18 and 217,234.41

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Solution

The fourth proportional to 398,518.94, 549,945.18 and 217,234.41 is: 299,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,518.94 : 549,945.18 = 217,234.41 : x
  2. Step 2: Convert to fraction form
    398,518.94/549,945.18 = 217,234.41/x
  3. Step 3: Cross multiply
    398,518.94x = 549,945.18 × 217,234.41
  4. Step 4: Simplify right side
    398,518.94x = 119,467,015,563.81
  5. Step 5: Solve for x
    x = 119,467,015,563.81/398,518.94
  6. Step 6: Final answer
    x = 299,777.51

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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.