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Finding the Fourth Proportional to 274,142.16, 410,076 and 257,346

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Solution

The fourth proportional to 274,142.16, 410,076 and 257,346 is: 384,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,142.16 : 410,076 = 257,346 : x
  2. Step 2: Convert to fraction form
    274,142.16/410,076 = 257,346/x
  3. Step 3: Cross multiply
    274,142.16x = 410,076 × 257,346
  4. Step 4: Simplify right side
    274,142.16x = 105,531,418,296
  5. Step 5: Solve for x
    x = 105,531,418,296/274,142.16
  6. Step 6: Final answer
    x = 384,951.44

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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.