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Finding the Fourth Proportional to 511,846.98, 706,575.36 and 330,647.28

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Solution

The fourth proportional to 511,846.98, 706,575.36 and 330,647.28 is: 456,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,846.98 : 706,575.36 = 330,647.28 : x
  2. Step 2: Convert to fraction form
    511,846.98/706,575.36 = 330,647.28/x
  3. Step 3: Cross multiply
    511,846.98x = 706,575.36 × 330,647.28
  4. Step 4: Simplify right side
    511,846.98x = 233,627,220,899.02
  5. Step 5: Solve for x
    x = 233,627,220,899.02/511,846.98
  6. Step 6: Final answer
    x = 456,439.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.