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Finding the Fourth Proportional to 458,302.86, 686,459.21 and 280,270.13

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Solution

The fourth proportional to 458,302.86, 686,459.21 and 280,270.13 is: 419,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,302.86 : 686,459.21 = 280,270.13 : x
  2. Step 2: Convert to fraction form
    458,302.86/686,459.21 = 280,270.13/x
  3. Step 3: Cross multiply
    458,302.86x = 686,459.21 × 280,270.13
  4. Step 4: Simplify right side
    458,302.86x = 192,394,007,192.75
  5. Step 5: Solve for x
    x = 192,394,007,192.75/458,302.86
  6. Step 6: Final answer
    x = 419,796.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.