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Finding the Fourth Proportional to 298,475.34, 447,413.85 and 138,663.58

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Solution

The fourth proportional to 298,475.34, 447,413.85 and 138,663.58 is: 207,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,475.34 : 447,413.85 = 138,663.58 : x
  2. Step 2: Convert to fraction form
    298,475.34/447,413.85 = 138,663.58/x
  3. Step 3: Cross multiply
    298,475.34x = 447,413.85 × 138,663.58
  4. Step 4: Simplify right side
    298,475.34x = 62,040,006,182.58
  5. Step 5: Solve for x
    x = 62,040,006,182.58/298,475.34
  6. Step 6: Final answer
    x = 207,856.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.