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Finding the Fourth Proportional to 352,407.94, 486,101.76 and 209,066.50

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Solution

The fourth proportional to 352,407.94, 486,101.76 and 209,066.50 is: 288,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,407.94 : 486,101.76 = 209,066.50 : x
  2. Step 2: Convert to fraction form
    352,407.94/486,101.76 = 209,066.50/x
  3. Step 3: Cross multiply
    352,407.94x = 486,101.76 × 209,066.50
  4. Step 4: Simplify right side
    352,407.94x = 101,627,593,607.04
  5. Step 5: Solve for x
    x = 101,627,593,607.04/352,407.94
  6. Step 6: Final answer
    x = 288,380.54

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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.