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Finding the Fourth Proportional to 352,406.94, 486,100.38 and 209,065.50

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Solution

The fourth proportional to 352,406.94, 486,100.38 and 209,065.50 is: 288,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,406.94 : 486,100.38 = 209,065.50 : x
  2. Step 2: Convert to fraction form
    352,406.94/486,100.38 = 209,065.50/x
  3. Step 3: Cross multiply
    352,406.94x = 486,100.38 × 209,065.50
  4. Step 4: Simplify right side
    352,406.94x = 101,626,818,994.89
  5. Step 5: Solve for x
    x = 101,626,818,994.89/352,406.94
  6. Step 6: Final answer
    x = 288,379.16

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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.