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Finding the Fourth Proportional to 419,705.18, 579,193.23 and 228,718.60

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Solution

The fourth proportional to 419,705.18, 579,193.23 and 228,718.60 is: 315,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,705.18 : 579,193.23 = 228,718.60 : x
  2. Step 2: Convert to fraction form
    419,705.18/579,193.23 = 228,718.60/x
  3. Step 3: Cross multiply
    419,705.18x = 579,193.23 × 228,718.60
  4. Step 4: Simplify right side
    419,705.18x = 132,472,264,695.08
  5. Step 5: Solve for x
    x = 132,472,264,695.08/419,705.18
  6. Step 6: Final answer
    x = 315,631.71

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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.