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Finding the Fourth Proportional to 384,904.32, 531,169.92 and 215,134.80

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Solution

The fourth proportional to 384,904.32, 531,169.92 and 215,134.80 is: 296,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,904.32 : 531,169.92 = 215,134.80 : x
  2. Step 2: Convert to fraction form
    384,904.32/531,169.92 = 215,134.80/x
  3. Step 3: Cross multiply
    384,904.32x = 531,169.92 × 215,134.80
  4. Step 4: Simplify right side
    384,904.32x = 114,273,134,505.22
  5. Step 5: Solve for x
    x = 114,273,134,505.22/384,904.32
  6. Step 6: Final answer
    x = 296,887.12

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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.