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Finding the Fourth Proportional to 542,477.22, 813,623.49 and 143,121.84

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Solution

The fourth proportional to 542,477.22, 813,623.49 and 143,121.84 is: 214,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,477.22 : 813,623.49 = 143,121.84 : x
  2. Step 2: Convert to fraction form
    542,477.22/813,623.49 = 143,121.84/x
  3. Step 3: Cross multiply
    542,477.22x = 813,623.49 × 143,121.84
  4. Step 4: Simplify right side
    542,477.22x = 116,447,290,956.02
  5. Step 5: Solve for x
    x = 116,447,290,956.02/542,477.22
  6. Step 6: Final answer
    x = 214,658.40

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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.