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Finding the Fourth Proportional to 352,499.63, 486,457.71 and 209,260.22

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Solution

The fourth proportional to 352,499.63, 486,457.71 and 209,260.22 is: 288,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,499.63 : 486,457.71 = 209,260.22 : x
  2. Step 2: Convert to fraction form
    352,499.63/486,457.71 = 209,260.22/x
  3. Step 3: Cross multiply
    352,499.63x = 486,457.71 × 209,260.22
  4. Step 4: Simplify right side
    352,499.63x = 101,796,247,415.30
  5. Step 5: Solve for x
    x = 101,796,247,415.30/352,499.63
  6. Step 6: Final answer
    x = 288,783.98

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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.