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Finding the Fourth Proportional to 352,403.45, 486,095.54 and 209,062

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Solution

The fourth proportional to 352,403.45, 486,095.54 and 209,062 is: 288,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,403.45 : 486,095.54 = 209,062 : x
  2. Step 2: Convert to fraction form
    352,403.45/486,095.54 = 209,062/x
  3. Step 3: Cross multiply
    352,403.45x = 486,095.54 × 209,062
  4. Step 4: Simplify right side
    352,403.45x = 101,624,105,783.48
  5. Step 5: Solve for x
    x = 101,624,105,783.48/352,403.45
  6. Step 6: Final answer
    x = 288,374.32

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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.