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Finding the Fourth Proportional to 384,814.50, 531,034.11 and 215,050.02

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Solution

The fourth proportional to 384,814.50, 531,034.11 and 215,050.02 is: 296,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,814.50 : 531,034.11 = 215,050.02 : x
  2. Step 2: Convert to fraction form
    384,814.50/531,034.11 = 215,050.02/x
  3. Step 3: Cross multiply
    384,814.50x = 531,034.11 × 215,050.02
  4. Step 4: Simplify right side
    384,814.50x = 114,198,895,976.18
  5. Step 5: Solve for x
    x = 114,198,895,976.18/384,814.50
  6. Step 6: Final answer
    x = 296,763.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.