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Finding the Fourth Proportional to 511,669.71, 706,016.10 and 328,068.84

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Solution

The fourth proportional to 511,669.71, 706,016.10 and 328,068.84 is: 452,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,669.71 : 706,016.10 = 328,068.84 : x
  2. Step 2: Convert to fraction form
    511,669.71/706,016.10 = 328,068.84/x
  3. Step 3: Cross multiply
    511,669.71x = 706,016.10 × 328,068.84
  4. Step 4: Simplify right side
    511,669.71x = 231,621,882,948.32
  5. Step 5: Solve for x
    x = 231,621,882,948.32/511,669.71
  6. Step 6: Final answer
    x = 452,678.51

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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.