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Finding the Fourth Proportional to 457,275.94, 631,348.74 and 285,455.50

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Solution

The fourth proportional to 457,275.94, 631,348.74 and 285,455.50 is: 394,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,275.94 : 631,348.74 = 285,455.50 : x
  2. Step 2: Convert to fraction form
    457,275.94/631,348.74 = 285,455.50/x
  3. Step 3: Cross multiply
    457,275.94x = 631,348.74 × 285,455.50
  4. Step 4: Simplify right side
    457,275.94x = 180,221,970,251.07
  5. Step 5: Solve for x
    x = 180,221,970,251.07/457,275.94
  6. Step 6: Final answer
    x = 394,120.82

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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.