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Finding the Fourth Proportional to 384,898.64, 531,160.68 and 215,132.48

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Solution

The fourth proportional to 384,898.64, 531,160.68 and 215,132.48 is: 296,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,898.64 : 531,160.68 = 215,132.48 : x
  2. Step 2: Convert to fraction form
    384,898.64/531,160.68 = 215,132.48/x
  3. Step 3: Cross multiply
    384,898.64x = 531,160.68 × 215,132.48
  4. Step 4: Simplify right side
    384,898.64x = 114,269,914,366.89
  5. Step 5: Solve for x
    x = 114,269,914,366.89/384,898.64
  6. Step 6: Final answer
    x = 296,883.13

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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.