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Finding the Fourth Proportional to 420,992.56, 628,417.68 and 367,847.92

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Solution

The fourth proportional to 420,992.56, 628,417.68 and 367,847.92 is: 549,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,992.56 : 628,417.68 = 367,847.92 : x
  2. Step 2: Convert to fraction form
    420,992.56/628,417.68 = 367,847.92/x
  3. Step 3: Cross multiply
    420,992.56x = 628,417.68 × 367,847.92
  4. Step 4: Simplify right side
    420,992.56x = 231,162,136,479.23
  5. Step 5: Solve for x
    x = 231,162,136,479.23/420,992.56
  6. Step 6: Final answer
    x = 549,088.41

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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.