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Finding the Fourth Proportional to 306,559.30, 459,597.03 and 129,093.70

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Solution

The fourth proportional to 306,559.30, 459,597.03 and 129,093.70 is: 193,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,559.30 : 459,597.03 = 129,093.70 : x
  2. Step 2: Convert to fraction form
    306,559.30/459,597.03 = 129,093.70/x
  3. Step 3: Cross multiply
    306,559.30x = 459,597.03 × 129,093.70
  4. Step 4: Simplify right side
    306,559.30x = 59,331,081,111.71
  5. Step 5: Solve for x
    x = 59,331,081,111.71/306,559.30
  6. Step 6: Final answer
    x = 193,538.68

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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.