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Finding the Fourth Proportional to 854,166, 1,282,021.74 and 455,143.80

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Solution

The fourth proportional to 854,166, 1,282,021.74 and 455,143.80 is: 683,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,166 : 1,282,021.74 = 455,143.80 : x
  2. Step 2: Convert to fraction form
    854,166/1,282,021.74 = 455,143.80/x
  3. Step 3: Cross multiply
    854,166x = 1,282,021.74 × 455,143.80
  4. Step 4: Simplify right side
    854,166x = 583,504,246,426.21
  5. Step 5: Solve for x
    x = 583,504,246,426.21/854,166
  6. Step 6: Final answer
    x = 683,127.46

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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.