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Finding the Fourth Proportional to 419,393.80, 578,779.83 and 238,122.62

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Solution

The fourth proportional to 419,393.80, 578,779.83 and 238,122.62 is: 328,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,393.80 : 578,779.83 = 238,122.62 : x
  2. Step 2: Convert to fraction form
    419,393.80/578,779.83 = 238,122.62/x
  3. Step 3: Cross multiply
    419,393.80x = 578,779.83 × 238,122.62
  4. Step 4: Simplify right side
    419,393.80x = 137,820,568,799.28
  5. Step 5: Solve for x
    x = 137,820,568,799.28/419,393.80
  6. Step 6: Final answer
    x = 328,618.52

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1.5x scale

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.