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Finding the Fourth Proportional to 328,118.46, 492,218.76 and 128,413.06

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Solution

The fourth proportional to 328,118.46, 492,218.76 and 128,413.06 is: 192,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,118.46 : 492,218.76 = 128,413.06 : x
  2. Step 2: Convert to fraction form
    328,118.46/492,218.76 = 128,413.06/x
  3. Step 3: Cross multiply
    328,118.46x = 492,218.76 × 128,413.06
  4. Step 4: Simplify right side
    328,118.46x = 63,207,317,161.01
  5. Step 5: Solve for x
    x = 63,207,317,161.01/328,118.46
  6. Step 6: Final answer
    x = 192,635.66

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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.