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Finding the Fourth Proportional to 504,978.36, 696,869.56 and 278,623.84

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Solution

The fourth proportional to 504,978.36, 696,869.56 and 278,623.84 is: 384,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,978.36 : 696,869.56 = 278,623.84 : x
  2. Step 2: Convert to fraction form
    504,978.36/696,869.56 = 278,623.84/x
  3. Step 3: Cross multiply
    504,978.36x = 696,869.56 × 278,623.84
  4. Step 4: Simplify right side
    504,978.36x = 194,164,472,786.31
  5. Step 5: Solve for x
    x = 194,164,472,786.31/504,978.36
  6. Step 6: Final answer
    x = 384,500.58

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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.