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Finding the Fourth Proportional to 494,430.80, 741,646.20 and 420,947.60

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Solution

The fourth proportional to 494,430.80, 741,646.20 and 420,947.60 is: 631,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,430.80 : 741,646.20 = 420,947.60 : x
  2. Step 2: Convert to fraction form
    494,430.80/741,646.20 = 420,947.60/x
  3. Step 3: Cross multiply
    494,430.80x = 741,646.20 × 420,947.60
  4. Step 4: Simplify right side
    494,430.80x = 312,194,187,939.12
  5. Step 5: Solve for x
    x = 312,194,187,939.12/494,430.80
  6. Step 6: Final answer
    x = 631,421.40

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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.