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Finding the Fourth Proportional to 421,413.64, 631,988.70 and 140,865.28

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Solution

The fourth proportional to 421,413.64, 631,988.70 and 140,865.28 is: 211,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,413.64 : 631,988.70 = 140,865.28 : x
  2. Step 2: Convert to fraction form
    421,413.64/631,988.70 = 140,865.28/x
  3. Step 3: Cross multiply
    421,413.64x = 631,988.70 × 140,865.28
  4. Step 4: Simplify right side
    421,413.64x = 89,025,263,074.12
  5. Step 5: Solve for x
    x = 89,025,263,074.12/421,413.64
  6. Step 6: Final answer
    x = 211,253.87

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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.