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Finding the Fourth Proportional to 512,032.19, 706,435.83 and 330,850.78

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Solution

The fourth proportional to 512,032.19, 706,435.83 and 330,850.78 is: 456,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,032.19 : 706,435.83 = 330,850.78 : x
  2. Step 2: Convert to fraction form
    512,032.19/706,435.83 = 330,850.78/x
  3. Step 3: Cross multiply
    512,032.19x = 706,435.83 × 330,850.78
  4. Step 4: Simplify right side
    512,032.19x = 233,724,843,609.36
  5. Step 5: Solve for x
    x = 233,724,843,609.36/512,032.19
  6. Step 6: Final answer
    x = 456,465.14

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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.