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Finding the Fourth Proportional to 419,131.72, 578,414.82 and 228,157.84

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Solution

The fourth proportional to 419,131.72, 578,414.82 and 228,157.84 is: 314,864.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,131.72 : 578,414.82 = 228,157.84 : x
  2. Step 2: Convert to fraction form
    419,131.72/578,414.82 = 228,157.84/x
  3. Step 3: Cross multiply
    419,131.72x = 578,414.82 × 228,157.84
  4. Step 4: Simplify right side
    419,131.72x = 131,969,875,955.19
  5. Step 5: Solve for x
    x = 131,969,875,955.19/419,131.72
  6. Step 6: Final answer
    x = 314,864.92

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1.5x scale

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.