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Finding the Fourth Proportional to 231,437.40, 319,413.14 and 129,468.52

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Solution

The fourth proportional to 231,437.40, 319,413.14 and 129,468.52 is: 178,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,437.40 : 319,413.14 = 129,468.52 : x
  2. Step 2: Convert to fraction form
    231,437.40/319,413.14 = 129,468.52/x
  3. Step 3: Cross multiply
    231,437.40x = 319,413.14 × 129,468.52
  4. Step 4: Simplify right side
    231,437.40x = 41,353,946,504.35
  5. Step 5: Solve for x
    x = 41,353,946,504.35/231,437.40
  6. Step 6: Final answer
    x = 178,683.08

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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.