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Finding the Fourth Proportional to 385,861.86, 578,814.65 and 119,660.22

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Solution

The fourth proportional to 385,861.86, 578,814.65 and 119,660.22 is: 179,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,861.86 : 578,814.65 = 119,660.22 : x
  2. Step 2: Convert to fraction form
    385,861.86/578,814.65 = 119,660.22/x
  3. Step 3: Cross multiply
    385,861.86x = 578,814.65 × 119,660.22
  4. Step 4: Simplify right side
    385,861.86x = 69,261,086,711.18
  5. Step 5: Solve for x
    x = 69,261,086,711.18/385,861.86
  6. Step 6: Final answer
    x = 179,497.11

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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.