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Finding the Fourth Proportional to 511,580.80, 766,334.40 and 289,705.60

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Solution

The fourth proportional to 511,580.80, 766,334.40 and 289,705.60 is: 433,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,580.80 : 766,334.40 = 289,705.60 : x
  2. Step 2: Convert to fraction form
    511,580.80/766,334.40 = 289,705.60/x
  3. Step 3: Cross multiply
    511,580.80x = 766,334.40 × 289,705.60
  4. Step 4: Simplify right side
    511,580.80x = 222,011,367,152.64
  5. Step 5: Solve for x
    x = 222,011,367,152.64/511,580.80
  6. Step 6: Final answer
    x = 433,971.27

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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.