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Finding the Fourth Proportional to 384,957.76, 531,243.84 and 215,199.04

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Solution

The fourth proportional to 384,957.76, 531,243.84 and 215,199.04 is: 296,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,957.76 : 531,243.84 = 215,199.04 : x
  2. Step 2: Convert to fraction form
    384,957.76/531,243.84 = 215,199.04/x
  3. Step 3: Cross multiply
    384,957.76x = 531,243.84 × 215,199.04
  4. Step 4: Simplify right side
    384,957.76x = 114,323,164,373.91
  5. Step 5: Solve for x
    x = 114,323,164,373.91/384,957.76
  6. Step 6: Final answer
    x = 296,975.87

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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.