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Finding the Fourth Proportional to 511,862.40, 767,793.60 and 343,900.80

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Solution

The fourth proportional to 511,862.40, 767,793.60 and 343,900.80 is: 515,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,862.40 : 767,793.60 = 343,900.80 : x
  2. Step 2: Convert to fraction form
    511,862.40/767,793.60 = 343,900.80/x
  3. Step 3: Cross multiply
    511,862.40x = 767,793.60 × 343,900.80
  4. Step 4: Simplify right side
    511,862.40x = 264,044,833,274.88
  5. Step 5: Solve for x
    x = 264,044,833,274.88/511,862.40
  6. Step 6: Final answer
    x = 515,851.20

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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.