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Finding the Fourth Proportional to 457,733.63, 631,672.17 and 253,784

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Solution

The fourth proportional to 457,733.63, 631,672.17 and 253,784 is: 350,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,733.63 : 631,672.17 = 253,784 : x
  2. Step 2: Convert to fraction form
    457,733.63/631,672.17 = 253,784/x
  3. Step 3: Cross multiply
    457,733.63x = 631,672.17 × 253,784
  4. Step 4: Simplify right side
    457,733.63x = 160,308,289,991.28
  5. Step 5: Solve for x
    x = 160,308,289,991.28/457,733.63
  6. Step 6: Final answer
    x = 350,221.79

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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.