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Finding the Fourth Proportional to 512,146.72, 706,762.61 and 282,704.14

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Solution

The fourth proportional to 512,146.72, 706,762.61 and 282,704.14 is: 390,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,146.72 : 706,762.61 = 282,704.14 : x
  2. Step 2: Convert to fraction form
    512,146.72/706,762.61 = 282,704.14/x
  3. Step 3: Cross multiply
    512,146.72x = 706,762.61 × 282,704.14
  4. Step 4: Simplify right side
    512,146.72x = 199,804,715,844.21
  5. Step 5: Solve for x
    x = 199,804,715,844.21/512,146.72
  6. Step 6: Final answer
    x = 390,131.79

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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.