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Finding the Fourth Proportional to 253,238.94, 379,718.16 and 103,584.30

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Solution

The fourth proportional to 253,238.94, 379,718.16 and 103,584.30 is: 155,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,238.94 : 379,718.16 = 103,584.30 : x
  2. Step 2: Convert to fraction form
    253,238.94/379,718.16 = 103,584.30/x
  3. Step 3: Cross multiply
    253,238.94x = 379,718.16 × 103,584.30
  4. Step 4: Simplify right side
    253,238.94x = 39,332,839,800.89
  5. Step 5: Solve for x
    x = 39,332,839,800.89/253,238.94
  6. Step 6: Final answer
    x = 155,319.08

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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.