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Finding the Fourth Proportional to 321,728.79, 482,596.89 and 97,091.16

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Solution

The fourth proportional to 321,728.79, 482,596.89 and 97,091.16 is: 145,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,728.79 : 482,596.89 = 97,091.16 : x
  2. Step 2: Convert to fraction form
    321,728.79/482,596.89 = 97,091.16/x
  3. Step 3: Cross multiply
    321,728.79x = 482,596.89 × 97,091.16
  4. Step 4: Simplify right side
    321,728.79x = 46,855,891,862.49
  5. Step 5: Solve for x
    x = 46,855,891,862.49/321,728.79
  6. Step 6: Final answer
    x = 145,637.86

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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.