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Finding the Fourth Proportional to 427,778.47, 590,379.20 and 320,160.25

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Solution

The fourth proportional to 427,778.47, 590,379.20 and 320,160.25 is: 441,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,778.47 : 590,379.20 = 320,160.25 : x
  2. Step 2: Convert to fraction form
    427,778.47/590,379.20 = 320,160.25/x
  3. Step 3: Cross multiply
    427,778.47x = 590,379.20 × 320,160.25
  4. Step 4: Simplify right side
    427,778.47x = 189,015,950,666.00
  5. Step 5: Solve for x
    x = 189,015,950,666.00/427,778.47
  6. Step 6: Final answer
    x = 441,854.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.