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Finding the Fourth Proportional to 504,871.56, 696,711.54 and 278,517

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Solution

The fourth proportional to 504,871.56, 696,711.54 and 278,517 is: 384,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,871.56 : 696,711.54 = 278,517 : x
  2. Step 2: Convert to fraction form
    504,871.56/696,711.54 = 278,517/x
  3. Step 3: Cross multiply
    504,871.56x = 696,711.54 × 278,517
  4. Step 4: Simplify right side
    504,871.56x = 194,046,007,986.18
  5. Step 5: Solve for x
    x = 194,046,007,986.18/504,871.56
  6. Step 6: Final answer
    x = 384,347.27

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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.