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Finding the Fourth Proportional to 458,303.36, 686,459.96 and 280,270.63

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Solution

The fourth proportional to 458,303.36, 686,459.96 and 280,270.63 is: 419,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,303.36 : 686,459.96 = 280,270.63 : x
  2. Step 2: Convert to fraction form
    458,303.36/686,459.96 = 280,270.63/x
  3. Step 3: Cross multiply
    458,303.36x = 686,459.96 × 280,270.63
  4. Step 4: Simplify right side
    458,303.36x = 192,394,560,625.32
  5. Step 5: Solve for x
    x = 192,394,560,625.32/458,303.36
  6. Step 6: Final answer
    x = 419,797.40

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1.5x scale

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.