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Finding the Fourth Proportional to 458,674.80, 686,629.80 and 408,908.40

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Solution

The fourth proportional to 458,674.80, 686,629.80 and 408,908.40 is: 612,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,674.80 : 686,629.80 = 408,908.40 : x
  2. Step 2: Convert to fraction form
    458,674.80/686,629.80 = 408,908.40/x
  3. Step 3: Cross multiply
    458,674.80x = 686,629.80 × 408,908.40
  4. Step 4: Simplify right side
    458,674.80x = 280,768,692,910.32
  5. Step 5: Solve for x
    x = 280,768,692,910.32/458,674.80
  6. Step 6: Final answer
    x = 612,130.19

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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.