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Finding the Fourth Proportional to 369,872.28, 554,983.88 and 256,194.86

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Solution

The fourth proportional to 369,872.28, 554,983.88 and 256,194.86 is: 384,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,872.28 : 554,983.88 = 256,194.86 : x
  2. Step 2: Convert to fraction form
    369,872.28/554,983.88 = 256,194.86/x
  3. Step 3: Cross multiply
    369,872.28x = 554,983.88 × 256,194.86
  4. Step 4: Simplify right side
    369,872.28x = 142,184,013,382.96
  5. Step 5: Solve for x
    x = 142,184,013,382.96/369,872.28
  6. Step 6: Final answer
    x = 384,413.81

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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.