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Finding the Fourth Proportional to 557,965.60, 770,363.10 and 428,673.64

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Solution

The fourth proportional to 557,965.60, 770,363.10 and 428,673.64 is: 591,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,965.60 : 770,363.10 = 428,673.64 : x
  2. Step 2: Convert to fraction form
    557,965.60/770,363.10 = 428,673.64/x
  3. Step 3: Cross multiply
    557,965.60x = 770,363.10 × 428,673.64
  4. Step 4: Simplify right side
    557,965.60x = 330,234,354,198.68
  5. Step 5: Solve for x
    x = 330,234,354,198.68/557,965.60
  6. Step 6: Final answer
    x = 591,854.33

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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.