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Finding the Fourth Proportional to 854,165, 1,282,020.24 and 455,142.80

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Solution

The fourth proportional to 854,165, 1,282,020.24 and 455,142.80 is: 683,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,165 : 1,282,020.24 = 455,142.80 : x
  2. Step 2: Convert to fraction form
    854,165/1,282,020.24 = 455,142.80/x
  3. Step 3: Cross multiply
    854,165x = 1,282,020.24 × 455,142.80
  4. Step 4: Simplify right side
    854,165x = 583,502,281,690.27
  5. Step 5: Solve for x
    x = 583,502,281,690.27/854,165
  6. Step 6: Final answer
    x = 683,125.96

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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.