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Finding the Fourth Proportional to 511,322.80, 766,984.20 and 362,023.60

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Solution

The fourth proportional to 511,322.80, 766,984.20 and 362,023.60 is: 543,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,322.80 : 766,984.20 = 362,023.60 : x
  2. Step 2: Convert to fraction form
    511,322.80/766,984.20 = 362,023.60/x
  3. Step 3: Cross multiply
    511,322.80x = 766,984.20 × 362,023.60
  4. Step 4: Simplify right side
    511,322.80x = 277,666,381,227.12
  5. Step 5: Solve for x
    x = 277,666,381,227.12/511,322.80
  6. Step 6: Final answer
    x = 543,035.40

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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.