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Finding the Fourth Proportional to 511,858.89, 767,788.20 and 274,875.57

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Solution

The fourth proportional to 511,858.89, 767,788.20 and 274,875.57 is: 412,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,858.89 : 767,788.20 = 274,875.57 : x
  2. Step 2: Convert to fraction form
    511,858.89/767,788.20 = 274,875.57/x
  3. Step 3: Cross multiply
    511,858.89x = 767,788.20 × 274,875.57
  4. Step 4: Simplify right side
    511,858.89x = 211,046,219,114.27
  5. Step 5: Solve for x
    x = 211,046,219,114.27/511,858.89
  6. Step 6: Final answer
    x = 412,313.28

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1.5x scale

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.