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Finding the Fourth Proportional to 257,984.96, 387,088.32 and 133,413.44

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Solution

The fourth proportional to 257,984.96, 387,088.32 and 133,413.44 is: 200,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,984.96 : 387,088.32 = 133,413.44 : x
  2. Step 2: Convert to fraction form
    257,984.96/387,088.32 = 133,413.44/x
  3. Step 3: Cross multiply
    257,984.96x = 387,088.32 × 133,413.44
  4. Step 4: Simplify right side
    257,984.96x = 51,642,784,355.02
  5. Step 5: Solve for x
    x = 51,642,784,355.02/257,984.96
  6. Step 6: Final answer
    x = 200,177.50

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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.