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Finding the Fourth Proportional to 511,813.40, 767,720.10 and 362,222.60

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Solution

The fourth proportional to 511,813.40, 767,720.10 and 362,222.60 is: 543,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,813.40 : 767,720.10 = 362,222.60 : x
  2. Step 2: Convert to fraction form
    511,813.40/767,720.10 = 362,222.60/x
  3. Step 3: Cross multiply
    511,813.40x = 767,720.10 × 362,222.60
  4. Step 4: Simplify right side
    511,813.40x = 278,085,570,694.26
  5. Step 5: Solve for x
    x = 278,085,570,694.26/511,813.40
  6. Step 6: Final answer
    x = 543,333.90

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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.