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Finding the Fourth Proportional to 550,367.40, 826,328.70 and 340,415.40

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Solution

The fourth proportional to 550,367.40, 826,328.70 and 340,415.40 is: 511,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,367.40 : 826,328.70 = 340,415.40 : x
  2. Step 2: Convert to fraction form
    550,367.40/826,328.70 = 340,415.40/x
  3. Step 3: Cross multiply
    550,367.40x = 826,328.70 × 340,415.40
  4. Step 4: Simplify right side
    550,367.40x = 281,295,014,941.98
  5. Step 5: Solve for x
    x = 281,295,014,941.98/550,367.40
  6. Step 6: Final answer
    x = 511,104.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.