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Finding the Fourth Proportional to 457,246.31, 631,308 and 285,425.87

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Solution

The fourth proportional to 457,246.31, 631,308 and 285,425.87 is: 394,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,246.31 : 631,308 = 285,425.87 : x
  2. Step 2: Convert to fraction form
    457,246.31/631,308 = 285,425.87/x
  3. Step 3: Cross multiply
    457,246.31x = 631,308 × 285,425.87
  4. Step 4: Simplify right side
    457,246.31x = 180,191,635,137.96
  5. Step 5: Solve for x
    x = 180,191,635,137.96/457,246.31
  6. Step 6: Final answer
    x = 394,080.02

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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.