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Finding the Fourth Proportional to 419,309.16, 578,648.91 and 228,322.60

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Solution

The fourth proportional to 419,309.16, 578,648.91 and 228,322.60 is: 315,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,309.16 : 578,648.91 = 228,322.60 : x
  2. Step 2: Convert to fraction form
    419,309.16/578,648.91 = 228,322.60/x
  3. Step 3: Cross multiply
    419,309.16x = 578,648.91 × 228,322.60
  4. Step 4: Simplify right side
    419,309.16x = 132,118,623,027.95
  5. Step 5: Solve for x
    x = 132,118,623,027.95/419,309.16
  6. Step 6: Final answer
    x = 315,086.43

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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.