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Finding the Fourth Proportional to 457,731.63, 631,669.41 and 253,782

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Solution

The fourth proportional to 457,731.63, 631,669.41 and 253,782 is: 350,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,731.63 : 631,669.41 = 253,782 : x
  2. Step 2: Convert to fraction form
    457,731.63/631,669.41 = 253,782/x
  3. Step 3: Cross multiply
    457,731.63x = 631,669.41 × 253,782
  4. Step 4: Simplify right side
    457,731.63x = 160,306,326,208.62
  5. Step 5: Solve for x
    x = 160,306,326,208.62/457,731.63
  6. Step 6: Final answer
    x = 350,219.03

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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.