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Finding the Fourth Proportional to 321,796.50, 482,772.78 and 97,143.51

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Solution

The fourth proportional to 321,796.50, 482,772.78 and 97,143.51 is: 145,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,796.50 : 482,772.78 = 97,143.51 : x
  2. Step 2: Convert to fraction form
    321,796.50/482,772.78 = 97,143.51/x
  3. Step 3: Cross multiply
    321,796.50x = 482,772.78 × 97,143.51
  4. Step 4: Simplify right side
    321,796.50x = 46,898,242,381.66
  5. Step 5: Solve for x
    x = 46,898,242,381.66/321,796.50
  6. Step 6: Final answer
    x = 145,738.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.