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Finding the Fourth Proportional to 275,839.84, 380,703.28 and 257,829.92

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Solution

The fourth proportional to 275,839.84, 380,703.28 and 257,829.92 is: 355,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,839.84 : 380,703.28 = 257,829.92 : x
  2. Step 2: Convert to fraction form
    275,839.84/380,703.28 = 257,829.92/x
  3. Step 3: Cross multiply
    275,839.84x = 380,703.28 × 257,829.92
  4. Step 4: Simplify right side
    275,839.84x = 98,156,696,226.14
  5. Step 5: Solve for x
    x = 98,156,696,226.14/275,839.84
  6. Step 6: Final answer
    x = 355,846.70

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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.