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Finding the Fourth Proportional to 446,415.94, 669,054.48 and 209,236.06

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Solution

The fourth proportional to 446,415.94, 669,054.48 and 209,236.06 is: 313,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,415.94 : 669,054.48 = 209,236.06 : x
  2. Step 2: Convert to fraction form
    446,415.94/669,054.48 = 209,236.06/x
  3. Step 3: Cross multiply
    446,415.94x = 669,054.48 × 209,236.06
  4. Step 4: Simplify right side
    446,415.94x = 139,990,323,320.55
  5. Step 5: Solve for x
    x = 139,990,323,320.55/446,415.94
  6. Step 6: Final answer
    x = 313,587.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.