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Finding the Fourth Proportional to 512,131.88, 706,742.03 and 282,689.22

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Solution

The fourth proportional to 512,131.88, 706,742.03 and 282,689.22 is: 390,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,131.88 : 706,742.03 = 282,689.22 : x
  2. Step 2: Convert to fraction form
    512,131.88/706,742.03 = 282,689.22/x
  3. Step 3: Cross multiply
    512,131.88x = 706,742.03 × 282,689.22
  4. Step 4: Simplify right side
    512,131.88x = 199,788,353,201.92
  5. Step 5: Solve for x
    x = 199,788,353,201.92/512,131.88
  6. Step 6: Final answer
    x = 390,111.14

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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.