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Finding the Fourth Proportional to 462,812.43, 638,740.31 and 258,874.68

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Solution

The fourth proportional to 462,812.43, 638,740.31 and 258,874.68 is: 357,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,812.43 : 638,740.31 = 258,874.68 : x
  2. Step 2: Convert to fraction form
    462,812.43/638,740.31 = 258,874.68/x
  3. Step 3: Cross multiply
    462,812.43x = 638,740.31 × 258,874.68
  4. Step 4: Simplify right side
    462,812.43x = 165,353,695,183.34
  5. Step 5: Solve for x
    x = 165,353,695,183.34/462,812.43
  6. Step 6: Final answer
    x = 357,280.15

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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.