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Finding the Fourth Proportional to 421,413.63, 631,988.64 and 140,865.27

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Solution

The fourth proportional to 421,413.63, 631,988.64 and 140,865.27 is: 211,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,413.63 : 631,988.64 = 140,865.27 : x
  2. Step 2: Convert to fraction form
    421,413.63/631,988.64 = 140,865.27/x
  3. Step 3: Cross multiply
    421,413.63x = 631,988.64 × 140,865.27
  4. Step 4: Simplify right side
    421,413.63x = 89,025,250,410.53
  5. Step 5: Solve for x
    x = 89,025,250,410.53/421,413.63
  6. Step 6: Final answer
    x = 211,253.85

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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.