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Finding the Fourth Proportional to 420,412.10, 580,169.86 and 250,642.58

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Solution

The fourth proportional to 420,412.10, 580,169.86 and 250,642.58 is: 345,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,412.10 : 580,169.86 = 250,642.58 : x
  2. Step 2: Convert to fraction form
    420,412.10/580,169.86 = 250,642.58/x
  3. Step 3: Cross multiply
    420,412.10x = 580,169.86 × 250,642.58
  4. Step 4: Simplify right side
    420,412.10x = 145,415,267,021.18
  5. Step 5: Solve for x
    x = 145,415,267,021.18/420,412.10
  6. Step 6: Final answer
    x = 345,887.45

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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.