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Finding the Fourth Proportional to 565,546.25, 780,448.33 and 420,998.45

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Solution

The fourth proportional to 565,546.25, 780,448.33 and 420,998.45 is: 580,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,546.25 : 780,448.33 = 420,998.45 : x
  2. Step 2: Convert to fraction form
    565,546.25/780,448.33 = 420,998.45/x
  3. Step 3: Cross multiply
    565,546.25x = 780,448.33 × 420,998.45
  4. Step 4: Simplify right side
    565,546.25x = 328,567,532,280.35
  5. Step 5: Solve for x
    x = 328,567,532,280.35/565,546.25
  6. Step 6: Final answer
    x = 580,973.76

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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.