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Finding the Fourth Proportional to 512,400.96, 706,538.16 and 330,874.56

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Solution

The fourth proportional to 512,400.96, 706,538.16 and 330,874.56 is: 456,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,400.96 : 706,538.16 = 330,874.56 : x
  2. Step 2: Convert to fraction form
    512,400.96/706,538.16 = 330,874.56/x
  3. Step 3: Cross multiply
    512,400.96x = 706,538.16 × 330,874.56
  4. Step 4: Simplify right side
    512,400.96x = 233,775,502,813.21
  5. Step 5: Solve for x
    x = 233,775,502,813.21/512,400.96
  6. Step 6: Final answer
    x = 456,235.49

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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.