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Finding the Fourth Proportional to 486,174.60, 729,261.90 and 205,655.40

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Solution

The fourth proportional to 486,174.60, 729,261.90 and 205,655.40 is: 308,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,174.60 : 729,261.90 = 205,655.40 : x
  2. Step 2: Convert to fraction form
    486,174.60/729,261.90 = 205,655.40/x
  3. Step 3: Cross multiply
    486,174.60x = 729,261.90 × 205,655.40
  4. Step 4: Simplify right side
    486,174.60x = 149,976,647,749.26
  5. Step 5: Solve for x
    x = 149,976,647,749.26/486,174.60
  6. Step 6: Final answer
    x = 308,483.10

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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.