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Finding the Fourth Proportional to 385,658.85, 578,861.43 and 186,119.70

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Solution

The fourth proportional to 385,658.85, 578,861.43 and 186,119.70 is: 279,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,658.85 : 578,861.43 = 186,119.70 : x
  2. Step 2: Convert to fraction form
    385,658.85/578,861.43 = 186,119.70/x
  3. Step 3: Cross multiply
    385,658.85x = 578,861.43 × 186,119.70
  4. Step 4: Simplify right side
    385,658.85x = 107,737,515,693.17
  5. Step 5: Solve for x
    x = 107,737,515,693.17/385,658.85
  6. Step 6: Final answer
    x = 279,359.64

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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.