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Finding the Fourth Proportional to 293,306.40, 440,494.20 and 256,564.80

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Solution

The fourth proportional to 293,306.40, 440,494.20 and 256,564.80 is: 385,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,306.40 : 440,494.20 = 256,564.80 : x
  2. Step 2: Convert to fraction form
    293,306.40/440,494.20 = 256,564.80/x
  3. Step 3: Cross multiply
    293,306.40x = 440,494.20 × 256,564.80
  4. Step 4: Simplify right side
    293,306.40x = 113,015,306,324.16
  5. Step 5: Solve for x
    x = 113,015,306,324.16/293,306.40
  6. Step 6: Final answer
    x = 385,314.83

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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.