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Finding the Fourth Proportional to 352,774.08, 486,752.22 and 209,582.28

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Solution

The fourth proportional to 352,774.08, 486,752.22 and 209,582.28 is: 289,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,774.08 : 486,752.22 = 209,582.28 : x
  2. Step 2: Convert to fraction form
    352,774.08/486,752.22 = 209,582.28/x
  3. Step 3: Cross multiply
    352,774.08x = 486,752.22 × 209,582.28
  4. Step 4: Simplify right side
    352,774.08x = 102,014,640,062.66
  5. Step 5: Solve for x
    x = 102,014,640,062.66/352,774.08
  6. Step 6: Final answer
    x = 289,178.39

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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.