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Finding the Fourth Proportional to 419,476.56, 578,877.90 and 228,490.80

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Solution

The fourth proportional to 419,476.56, 578,877.90 and 228,490.80 is: 315,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,476.56 : 578,877.90 = 228,490.80 : x
  2. Step 2: Convert to fraction form
    419,476.56/578,877.90 = 228,490.80/x
  3. Step 3: Cross multiply
    419,476.56x = 578,877.90 × 228,490.80
  4. Step 4: Simplify right side
    419,476.56x = 132,268,274,473.32
  5. Step 5: Solve for x
    x = 132,268,274,473.32/419,476.56
  6. Step 6: Final answer
    x = 315,317.44

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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.