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Finding the Fourth Proportional to 419,531.33, 578,909.77 and 235,740.71

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Solution

The fourth proportional to 419,531.33, 578,909.77 and 235,740.71 is: 325,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,531.33 : 578,909.77 = 235,740.71 : x
  2. Step 2: Convert to fraction form
    419,531.33/578,909.77 = 235,740.71/x
  3. Step 3: Cross multiply
    419,531.33x = 578,909.77 × 235,740.71
  4. Step 4: Simplify right side
    419,531.33x = 136,472,601,063.66
  5. Step 5: Solve for x
    x = 136,472,601,063.66/419,531.33
  6. Step 6: Final answer
    x = 325,297.76

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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.