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Finding the Fourth Proportional to 564,448.56, 778,938 and 322,735.68

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Solution

The fourth proportional to 564,448.56, 778,938 and 322,735.68 is: 445,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,448.56 : 778,938 = 322,735.68 : x
  2. Step 2: Convert to fraction form
    564,448.56/778,938 = 322,735.68/x
  3. Step 3: Cross multiply
    564,448.56x = 778,938 × 322,735.68
  4. Step 4: Simplify right side
    564,448.56x = 251,391,085,107.84
  5. Step 5: Solve for x
    x = 251,391,085,107.84/564,448.56
  6. Step 6: Final answer
    x = 445,374.66

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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.