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Finding the Fourth Proportional to 419,195.52, 578,413.64 and 237,915.09

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Solution

The fourth proportional to 419,195.52, 578,413.64 and 237,915.09 is: 328,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,195.52 : 578,413.64 = 237,915.09 : x
  2. Step 2: Convert to fraction form
    419,195.52/578,413.64 = 237,915.09/x
  3. Step 3: Cross multiply
    419,195.52x = 578,413.64 × 237,915.09
  4. Step 4: Simplify right side
    419,195.52x = 137,613,333,812.62
  5. Step 5: Solve for x
    x = 137,613,333,812.62/419,195.52
  6. Step 6: Final answer
    x = 328,279.59

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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.