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Finding the Fourth Proportional to 465,816, 642,826.08 and 253,848

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Solution

The fourth proportional to 465,816, 642,826.08 and 253,848 is: 350,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,816 : 642,826.08 = 253,848 : x
  2. Step 2: Convert to fraction form
    465,816/642,826.08 = 253,848/x
  3. Step 3: Cross multiply
    465,816x = 642,826.08 × 253,848
  4. Step 4: Simplify right side
    465,816x = 163,180,114,755.84
  5. Step 5: Solve for x
    x = 163,180,114,755.84/465,816
  6. Step 6: Final answer
    x = 350,310.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.