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Finding the Fourth Proportional to 403,090.50, 601,406.44 and 321,658.24

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Solution

The fourth proportional to 403,090.50, 601,406.44 and 321,658.24 is: 479,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,090.50 : 601,406.44 = 321,658.24 : x
  2. Step 2: Convert to fraction form
    403,090.50/601,406.44 = 321,658.24/x
  3. Step 3: Cross multiply
    403,090.50x = 601,406.44 × 321,658.24
  4. Step 4: Simplify right side
    403,090.50x = 193,447,335,406.77
  5. Step 5: Solve for x
    x = 193,447,335,406.77/403,090.50
  6. Step 6: Final answer
    x = 479,910.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.