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Finding the Fourth Proportional to 511,271.80, 766,907.70 and 472,780.60

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Solution

The fourth proportional to 511,271.80, 766,907.70 and 472,780.60 is: 709,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,271.80 : 766,907.70 = 472,780.60 : x
  2. Step 2: Convert to fraction form
    511,271.80/766,907.70 = 472,780.60/x
  3. Step 3: Cross multiply
    511,271.80x = 766,907.70 × 472,780.60
  4. Step 4: Simplify right side
    511,271.80x = 362,579,082,550.62
  5. Step 5: Solve for x
    x = 362,579,082,550.62/511,271.80
  6. Step 6: Final answer
    x = 709,170.90

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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.