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Finding the Fourth Proportional to 465,549.36, 642,440.04 and 284,564.32

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Solution

The fourth proportional to 465,549.36, 642,440.04 and 284,564.32 is: 392,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,549.36 : 642,440.04 = 284,564.32 : x
  2. Step 2: Convert to fraction form
    465,549.36/642,440.04 = 284,564.32/x
  3. Step 3: Cross multiply
    465,549.36x = 642,440.04 × 284,564.32
  4. Step 4: Simplify right side
    465,549.36x = 182,815,513,123.37
  5. Step 5: Solve for x
    x = 182,815,513,123.37/465,549.36
  6. Step 6: Final answer
    x = 392,687.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.