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Finding the Fourth Proportional to 512,070.21, 706,603.30 and 282,623.27

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Solution

The fourth proportional to 512,070.21, 706,603.30 and 282,623.27 is: 389,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,070.21 : 706,603.30 = 282,623.27 : x
  2. Step 2: Convert to fraction form
    512,070.21/706,603.30 = 282,623.27/x
  3. Step 3: Cross multiply
    512,070.21x = 706,603.30 × 282,623.27
  4. Step 4: Simplify right side
    512,070.21x = 199,702,530,999.22
  5. Step 5: Solve for x
    x = 199,702,530,999.22/512,070.21
  6. Step 6: Final answer
    x = 389,990.53

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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.