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Finding the Fourth Proportional to 228,727.86, 315,607.70 and 143,784.78

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Solution

The fourth proportional to 228,727.86, 315,607.70 and 143,784.78 is: 198,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,727.86 : 315,607.70 = 143,784.78 : x
  2. Step 2: Convert to fraction form
    228,727.86/315,607.70 = 143,784.78/x
  3. Step 3: Cross multiply
    228,727.86x = 315,607.70 × 143,784.78
  4. Step 4: Simplify right side
    228,727.86x = 45,379,581,413.84
  5. Step 5: Solve for x
    x = 45,379,581,413.84/228,727.86
  6. Step 6: Final answer
    x = 198,399.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.