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Finding the Fourth Proportional to 253,674.71, 380,511.81 and 103,915.28

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Solution

The fourth proportional to 253,674.71, 380,511.81 and 103,915.28 is: 155,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,674.71 : 380,511.81 = 103,915.28 : x
  2. Step 2: Convert to fraction form
    253,674.71/380,511.81 = 103,915.28/x
  3. Step 3: Cross multiply
    253,674.71x = 380,511.81 × 103,915.28
  4. Step 4: Simplify right side
    253,674.71x = 39,540,991,279.46
  5. Step 5: Solve for x
    x = 39,540,991,279.46/253,674.71
  6. Step 6: Final answer
    x = 155,872.82

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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.