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Finding the Fourth Proportional to 419,274.96, 578,611.80 and 228,296.40

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Solution

The fourth proportional to 419,274.96, 578,611.80 and 228,296.40 is: 315,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,274.96 : 578,611.80 = 228,296.40 : x
  2. Step 2: Convert to fraction form
    419,274.96/578,611.80 = 228,296.40/x
  3. Step 3: Cross multiply
    419,274.96x = 578,611.80 × 228,296.40
  4. Step 4: Simplify right side
    419,274.96x = 132,094,990,937.52
  5. Step 5: Solve for x
    x = 132,094,990,937.52/419,274.96
  6. Step 6: Final answer
    x = 315,055.76

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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.