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Finding the Fourth Proportional to 511,244.80, 767,212.80 and 286,604.80

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Solution

The fourth proportional to 511,244.80, 767,212.80 and 286,604.80 is: 430,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,244.80 : 767,212.80 = 286,604.80 : x
  2. Step 2: Convert to fraction form
    511,244.80/767,212.80 = 286,604.80/x
  3. Step 3: Cross multiply
    511,244.80x = 767,212.80 × 286,604.80
  4. Step 4: Simplify right side
    511,244.80x = 219,886,871,101.44
  5. Step 5: Solve for x
    x = 219,886,871,101.44/511,244.80
  6. Step 6: Final answer
    x = 430,100.94

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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.