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Finding the Fourth Proportional to 420,428.34, 580,192.74 and 229,446

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Solution

The fourth proportional to 420,428.34, 580,192.74 and 229,446 is: 316,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,428.34 : 580,192.74 = 229,446 : x
  2. Step 2: Convert to fraction form
    420,428.34/580,192.74 = 229,446/x
  3. Step 3: Cross multiply
    420,428.34x = 580,192.74 × 229,446
  4. Step 4: Simplify right side
    420,428.34x = 133,122,903,422.04
  5. Step 5: Solve for x
    x = 133,122,903,422.04/420,428.34
  6. Step 6: Final answer
    x = 316,636.37

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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.