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Finding the Fourth Proportional to 548,898.40, 823,347.60 and 511,573.60

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Solution

The fourth proportional to 548,898.40, 823,347.60 and 511,573.60 is: 767,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,898.40 : 823,347.60 = 511,573.60 : x
  2. Step 2: Convert to fraction form
    548,898.40/823,347.60 = 511,573.60/x
  3. Step 3: Cross multiply
    548,898.40x = 823,347.60 × 511,573.60
  4. Step 4: Simplify right side
    548,898.40x = 421,202,895,783.36
  5. Step 5: Solve for x
    x = 421,202,895,783.36/548,898.40
  6. Step 6: Final answer
    x = 767,360.40

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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.