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Finding the Fourth Proportional to 458,245.40, 686,784.90 and 408,090.20

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Solution

The fourth proportional to 458,245.40, 686,784.90 and 408,090.20 is: 611,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,245.40 : 686,784.90 = 408,090.20 : x
  2. Step 2: Convert to fraction form
    458,245.40/686,784.90 = 408,090.20/x
  3. Step 3: Cross multiply
    458,245.40x = 686,784.90 × 408,090.20
  4. Step 4: Simplify right side
    458,245.40x = 280,270,187,197.98
  5. Step 5: Solve for x
    x = 280,270,187,197.98/458,245.40
  6. Step 6: Final answer
    x = 611,615.93

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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.