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Finding the Fourth Proportional to 306,739.30, 459,124.80 and 218,165.80

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Solution

The fourth proportional to 306,739.30, 459,124.80 and 218,165.80 is: 326,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,739.30 : 459,124.80 = 218,165.80 : x
  2. Step 2: Convert to fraction form
    306,739.30/459,124.80 = 218,165.80/x
  3. Step 3: Cross multiply
    306,739.30x = 459,124.80 × 218,165.80
  4. Step 4: Simplify right side
    306,739.30x = 100,165,329,291.84
  5. Step 5: Solve for x
    x = 100,165,329,291.84/306,739.30
  6. Step 6: Final answer
    x = 326,548.73

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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.