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Finding the Fourth Proportional to 328,952.56, 493,480.32 and 139,413.28

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Solution

The fourth proportional to 328,952.56, 493,480.32 and 139,413.28 is: 209,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,952.56 : 493,480.32 = 139,413.28 : x
  2. Step 2: Convert to fraction form
    328,952.56/493,480.32 = 139,413.28/x
  3. Step 3: Cross multiply
    328,952.56x = 493,480.32 × 139,413.28
  4. Step 4: Simplify right side
    328,952.56x = 68,797,710,026.65
  5. Step 5: Solve for x
    x = 68,797,710,026.65/328,952.56
  6. Step 6: Final answer
    x = 209,141.74

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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.