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Finding the Fourth Proportional to 458,206.84, 686,964.64 and 300,475

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Solution

The fourth proportional to 458,206.84, 686,964.64 and 300,475 is: 450,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,206.84 : 686,964.64 = 300,475 : x
  2. Step 2: Convert to fraction form
    458,206.84/686,964.64 = 300,475/x
  3. Step 3: Cross multiply
    458,206.84x = 686,964.64 × 300,475
  4. Step 4: Simplify right side
    458,206.84x = 206,415,700,204
  5. Step 5: Solve for x
    x = 206,415,700,204/458,206.84
  6. Step 6: Final answer
    x = 450,485.86

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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.