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Finding the Fourth Proportional to 419,818.50, 579,340.92 and 228,830.22

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Solution

The fourth proportional to 419,818.50, 579,340.92 and 228,830.22 is: 315,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,818.50 : 579,340.92 = 228,830.22 : x
  2. Step 2: Convert to fraction form
    419,818.50/579,340.92 = 228,830.22/x
  3. Step 3: Cross multiply
    419,818.50x = 579,340.92 × 228,830.22
  4. Step 4: Simplify right side
    419,818.50x = 132,570,710,178.60
  5. Step 5: Solve for x
    x = 132,570,710,178.60/419,818.50
  6. Step 6: Final answer
    x = 315,781.01

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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.