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Finding the Fourth Proportional to 419,718.96, 579,211.29 and 228,731.90

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Solution

The fourth proportional to 419,718.96, 579,211.29 and 228,731.90 is: 315,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,718.96 : 579,211.29 = 228,731.90 : x
  2. Step 2: Convert to fraction form
    419,718.96/579,211.29 = 228,731.90/x
  3. Step 3: Cross multiply
    419,718.96x = 579,211.29 × 228,731.90
  4. Step 4: Simplify right side
    419,718.96x = 132,484,095,967.10
  5. Step 5: Solve for x
    x = 132,484,095,967.10/419,718.96
  6. Step 6: Final answer
    x = 315,649.54

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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.