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Finding the Fourth Proportional to 457,274.94, 631,347.36 and 285,454.50

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Solution

The fourth proportional to 457,274.94, 631,347.36 and 285,454.50 is: 394,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,274.94 : 631,347.36 = 285,454.50 : x
  2. Step 2: Convert to fraction form
    457,274.94/631,347.36 = 285,454.50/x
  3. Step 3: Cross multiply
    457,274.94x = 631,347.36 × 285,454.50
  4. Step 4: Simplify right side
    457,274.94x = 180,220,944,975.12
  5. Step 5: Solve for x
    x = 180,220,944,975.12/457,274.94
  6. Step 6: Final answer
    x = 394,119.44

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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.