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Finding the Fourth Proportional to 854,540.80, 1,281,009.30 and 322,419.40

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Solution

The fourth proportional to 854,540.80, 1,281,009.30 and 322,419.40 is: 483,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,540.80 : 1,281,009.30 = 322,419.40 : x
  2. Step 2: Convert to fraction form
    854,540.80/1,281,009.30 = 322,419.40/x
  3. Step 3: Cross multiply
    854,540.80x = 1,281,009.30 × 322,419.40
  4. Step 4: Simplify right side
    854,540.80x = 413,022,249,900.42
  5. Step 5: Solve for x
    x = 413,022,249,900.42/854,540.80
  6. Step 6: Final answer
    x = 483,326.54

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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.