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Finding the Fourth Proportional to 854,412, 1,281,705.72 and 322,380.76

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Solution

The fourth proportional to 854,412, 1,281,705.72 and 322,380.76 is: 483,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,412 : 1,281,705.72 = 322,380.76 : x
  2. Step 2: Convert to fraction form
    854,412/1,281,705.72 = 322,380.76/x
  3. Step 3: Cross multiply
    854,412x = 1,281,705.72 × 322,380.76
  4. Step 4: Simplify right side
    854,412x = 413,197,264,109.95
  5. Step 5: Solve for x
    x = 413,197,264,109.95/854,412
  6. Step 6: Final answer
    x = 483,604.24

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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.