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Finding the Fourth Proportional to 512,008.50, 706,570.27 and 282,564.12

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Solution

The fourth proportional to 512,008.50, 706,570.27 and 282,564.12 is: 389,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,008.50 : 706,570.27 = 282,564.12 : x
  2. Step 2: Convert to fraction form
    512,008.50/706,570.27 = 282,564.12/x
  3. Step 3: Cross multiply
    512,008.50x = 706,570.27 × 282,564.12
  4. Step 4: Simplify right side
    512,008.50x = 199,651,403,204.66
  5. Step 5: Solve for x
    x = 199,651,403,204.66/512,008.50
  6. Step 6: Final answer
    x = 389,937.68

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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.