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Finding the Fourth Proportional to 511,669.21, 706,015.41 and 328,068.34

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Solution

The fourth proportional to 511,669.21, 706,015.41 and 328,068.34 is: 452,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,669.21 : 706,015.41 = 328,068.34 : x
  2. Step 2: Convert to fraction form
    511,669.21/706,015.41 = 328,068.34/x
  3. Step 3: Cross multiply
    511,669.21x = 706,015.41 × 328,068.34
  4. Step 4: Simplify right side
    511,669.21x = 231,621,303,573.12
  5. Step 5: Solve for x
    x = 231,621,303,573.12/511,669.21
  6. Step 6: Final answer
    x = 452,677.82

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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.