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Finding the Fourth Proportional to 253,276.50, 380,045.97 and 128,617.50

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Solution

The fourth proportional to 253,276.50, 380,045.97 and 128,617.50 is: 192,992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,276.50 : 380,045.97 = 128,617.50 : x
  2. Step 2: Convert to fraction form
    253,276.50/380,045.97 = 128,617.50/x
  3. Step 3: Cross multiply
    253,276.50x = 380,045.97 × 128,617.50
  4. Step 4: Simplify right side
    253,276.50x = 48,880,562,546.48
  5. Step 5: Solve for x
    x = 48,880,562,546.48/253,276.50
  6. Step 6: Final answer
    x = 192,992.89

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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.