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Finding the Fourth Proportional to 284,570.20, 426,879.60 and 97,581.70

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Solution

The fourth proportional to 284,570.20, 426,879.60 and 97,581.70 is: 146,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,570.20 : 426,879.60 = 97,581.70 : x
  2. Step 2: Convert to fraction form
    284,570.20/426,879.60 = 97,581.70/x
  3. Step 3: Cross multiply
    284,570.20x = 426,879.60 × 97,581.70
  4. Step 4: Simplify right side
    284,570.20x = 41,655,637,063.32
  5. Step 5: Solve for x
    x = 41,655,637,063.32/284,570.20
  6. Step 6: Final answer
    x = 146,380.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.