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Finding the Fourth Proportional to 504,916.96, 696,789.12 and 278,570.56

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Solution

The fourth proportional to 504,916.96, 696,789.12 and 278,570.56 is: 384,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,916.96 : 696,789.12 = 278,570.56 : x
  2. Step 2: Convert to fraction form
    504,916.96/696,789.12 = 278,570.56/x
  3. Step 3: Cross multiply
    504,916.96x = 696,789.12 × 278,570.56
  4. Step 4: Simplify right side
    504,916.96x = 194,104,935,360.31
  5. Step 5: Solve for x
    x = 194,104,935,360.31/504,916.96
  6. Step 6: Final answer
    x = 384,429.42

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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.