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Finding the Fourth Proportional to 384,806.94, 531,034.30 and 215,041.07

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Solution

The fourth proportional to 384,806.94, 531,034.30 and 215,041.07 is: 296,757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,806.94 : 531,034.30 = 215,041.07 : x
  2. Step 2: Convert to fraction form
    384,806.94/531,034.30 = 215,041.07/x
  3. Step 3: Cross multiply
    384,806.94x = 531,034.30 × 215,041.07
  4. Step 4: Simplify right side
    384,806.94x = 114,194,180,885.93
  5. Step 5: Solve for x
    x = 114,194,180,885.93/384,806.94
  6. Step 6: Final answer
    x = 296,757.07

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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.