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Finding the Fourth Proportional to 428,085.70, 591,155.37 and 320,468.90

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Solution

The fourth proportional to 428,085.70, 591,155.37 and 320,468.90 is: 442,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,085.70 : 591,155.37 = 320,468.90 : x
  2. Step 2: Convert to fraction form
    428,085.70/591,155.37 = 320,468.90/x
  3. Step 3: Cross multiply
    428,085.70x = 591,155.37 × 320,468.90
  4. Step 4: Simplify right side
    428,085.70x = 189,446,911,152.99
  5. Step 5: Solve for x
    x = 189,446,911,152.99/428,085.70
  6. Step 6: Final answer
    x = 442,544.36

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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.