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Finding the Fourth Proportional to 420,997.86, 580,984.65 and 230,019.30

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Solution

The fourth proportional to 420,997.86, 580,984.65 and 230,019.30 is: 317,430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,997.86 : 580,984.65 = 230,019.30 : x
  2. Step 2: Convert to fraction form
    420,997.86/580,984.65 = 230,019.30/x
  3. Step 3: Cross multiply
    420,997.86x = 580,984.65 × 230,019.30
  4. Step 4: Simplify right side
    420,997.86x = 133,637,682,503.75
  5. Step 5: Solve for x
    x = 133,637,682,503.75/420,997.86
  6. Step 6: Final answer
    x = 317,430.79

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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.