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Finding the Fourth Proportional to 419,508.85, 578,879.05 and 235,718.23

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Solution

The fourth proportional to 419,508.85, 578,879.05 and 235,718.23 is: 325,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,508.85 : 578,879.05 = 235,718.23 : x
  2. Step 2: Convert to fraction form
    419,508.85/578,879.05 = 235,718.23/x
  3. Step 3: Cross multiply
    419,508.85x = 578,879.05 × 235,718.23
  4. Step 4: Simplify right side
    419,508.85x = 136,452,342,155.69
  5. Step 5: Solve for x
    x = 136,452,342,155.69/419,508.85
  6. Step 6: Final answer
    x = 325,266.90

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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.