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Finding the Fourth Proportional to 512,145.82, 706,761.37 and 282,703.25

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Solution

The fourth proportional to 512,145.82, 706,761.37 and 282,703.25 is: 390,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,145.82 : 706,761.37 = 282,703.25 : x
  2. Step 2: Convert to fraction form
    512,145.82/706,761.37 = 282,703.25/x
  3. Step 3: Cross multiply
    512,145.82x = 706,761.37 × 282,703.25
  4. Step 4: Simplify right side
    512,145.82x = 199,803,737,002.30
  5. Step 5: Solve for x
    x = 199,803,737,002.30/512,145.82
  6. Step 6: Final answer
    x = 390,130.57

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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.