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Finding the Fourth Proportional to 457,086.97, 630,781.77 and 253,133.41

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Solution

The fourth proportional to 457,086.97, 630,781.77 and 253,133.41 is: 349,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,086.97 : 630,781.77 = 253,133.41 : x
  2. Step 2: Convert to fraction form
    457,086.97/630,781.77 = 253,133.41/x
  3. Step 3: Cross multiply
    457,086.97x = 630,781.77 × 253,133.41
  4. Step 4: Simplify right side
    457,086.97x = 159,671,940,405.94
  5. Step 5: Solve for x
    x = 159,671,940,405.94/457,086.97
  6. Step 6: Final answer
    x = 349,325.08

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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.