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Finding the Fourth Proportional to 564,334.38, 778,790.97 and 309,709.26

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Solution

The fourth proportional to 564,334.38, 778,790.97 and 309,709.26 is: 427,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,334.38 : 778,790.97 = 309,709.26 : x
  2. Step 2: Convert to fraction form
    564,334.38/778,790.97 = 309,709.26/x
  3. Step 3: Cross multiply
    564,334.38x = 778,790.97 × 309,709.26
  4. Step 4: Simplify right side
    564,334.38x = 241,198,775,013.38
  5. Step 5: Solve for x
    x = 241,198,775,013.38/564,334.38
  6. Step 6: Final answer
    x = 427,404.01

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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.