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Finding the Fourth Proportional to 512,200.90, 706,876.42 and 282,802.42

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Solution

The fourth proportional to 512,200.90, 706,876.42 and 282,802.42 is: 390,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,200.90 : 706,876.42 = 282,802.42 : x
  2. Step 2: Convert to fraction form
    512,200.90/706,876.42 = 282,802.42/x
  3. Step 3: Cross multiply
    512,200.90x = 706,876.42 × 282,802.42
  4. Step 4: Simplify right side
    512,200.90x = 199,906,362,216.94
  5. Step 5: Solve for x
    x = 199,906,362,216.94/512,200.90
  6. Step 6: Final answer
    x = 390,288.97

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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.