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Finding the Fourth Proportional to 512,146.82, 706,762.75 and 282,704.25

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Solution

The fourth proportional to 512,146.82, 706,762.75 and 282,704.25 is: 390,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,146.82 : 706,762.75 = 282,704.25 : x
  2. Step 2: Convert to fraction form
    512,146.82/706,762.75 = 282,704.25/x
  3. Step 3: Cross multiply
    512,146.82x = 706,762.75 × 282,704.25
  4. Step 4: Simplify right side
    512,146.82x = 199,804,833,166.69
  5. Step 5: Solve for x
    x = 199,804,833,166.69/512,146.82
  6. Step 6: Final answer
    x = 390,131.94

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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.