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Finding the Fourth Proportional to 420,493.75, 580,243.95 and 234,210.95

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Solution

The fourth proportional to 420,493.75, 580,243.95 and 234,210.95 is: 323,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,493.75 : 580,243.95 = 234,210.95 : x
  2. Step 2: Convert to fraction form
    420,493.75/580,243.95 = 234,210.95/x
  3. Step 3: Cross multiply
    420,493.75x = 580,243.95 × 234,210.95
  4. Step 4: Simplify right side
    420,493.75x = 135,899,488,500.48
  5. Step 5: Solve for x
    x = 135,899,488,500.48/420,493.75
  6. Step 6: Final answer
    x = 323,190.27

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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.