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Finding the Fourth Proportional to 329,314.86, 493,861.59 and 129,582.90

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Solution

The fourth proportional to 329,314.86, 493,861.59 and 129,582.90 is: 194,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,314.86 : 493,861.59 = 129,582.90 : x
  2. Step 2: Convert to fraction form
    329,314.86/493,861.59 = 129,582.90/x
  3. Step 3: Cross multiply
    329,314.86x = 493,861.59 × 129,582.90
  4. Step 4: Simplify right side
    329,314.86x = 63,996,017,030.81
  5. Step 5: Solve for x
    x = 63,996,017,030.81/329,314.86
  6. Step 6: Final answer
    x = 194,330.79

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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.