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Finding the Fourth Proportional to 384,861.84, 531,108 and 215,095.96

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Solution

The fourth proportional to 384,861.84, 531,108 and 215,095.96 is: 296,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,861.84 : 531,108 = 215,095.96 : x
  2. Step 2: Convert to fraction form
    384,861.84/531,108 = 215,095.96/x
  3. Step 3: Cross multiply
    384,861.84x = 531,108 × 215,095.96
  4. Step 4: Simplify right side
    384,861.84x = 114,239,185,123.68
  5. Step 5: Solve for x
    x = 114,239,185,123.68/384,861.84
  6. Step 6: Final answer
    x = 296,831.68

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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.