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Finding the Fourth Proportional to 511,148.40, 767,644.20 and 494,559.60

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Solution

The fourth proportional to 511,148.40, 767,644.20 and 494,559.60 is: 742,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,148.40 : 767,644.20 = 494,559.60 : x
  2. Step 2: Convert to fraction form
    511,148.40/767,644.20 = 494,559.60/x
  3. Step 3: Cross multiply
    511,148.40x = 767,644.20 × 494,559.60
  4. Step 4: Simplify right side
    511,148.40x = 379,645,808,494.32
  5. Step 5: Solve for x
    x = 379,645,808,494.32/511,148.40
  6. Step 6: Final answer
    x = 742,731.09

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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.