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Finding the Fourth Proportional to 398,564.98, 550,014.34 and 217,274.02

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Solution

The fourth proportional to 398,564.98, 550,014.34 and 217,274.02 is: 299,835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,564.98 : 550,014.34 = 217,274.02 : x
  2. Step 2: Convert to fraction form
    398,564.98/550,014.34 = 217,274.02/x
  3. Step 3: Cross multiply
    398,564.98x = 550,014.34 × 217,274.02
  4. Step 4: Simplify right side
    398,564.98x = 119,503,826,709.45
  5. Step 5: Solve for x
    x = 119,503,826,709.45/398,564.98
  6. Step 6: Final answer
    x = 299,835.24

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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.