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Finding the Fourth Proportional to 427,302.07, 589,611.34 and 245,978.97

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Solution

The fourth proportional to 427,302.07, 589,611.34 and 245,978.97 is: 339,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,302.07 : 589,611.34 = 245,978.97 : x
  2. Step 2: Convert to fraction form
    427,302.07/589,611.34 = 245,978.97/x
  3. Step 3: Cross multiply
    427,302.07x = 589,611.34 × 245,978.97
  4. Step 4: Simplify right side
    427,302.07x = 145,031,987,165.46
  5. Step 5: Solve for x
    x = 145,031,987,165.46/427,302.07
  6. Step 6: Final answer
    x = 339,413.26

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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.