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Finding the Fourth Proportional to 431,453.52, 646,671.96 and 194,518.80

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Solution

The fourth proportional to 431,453.52, 646,671.96 and 194,518.80 is: 291,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,453.52 : 646,671.96 = 194,518.80 : x
  2. Step 2: Convert to fraction form
    431,453.52/646,671.96 = 194,518.80/x
  3. Step 3: Cross multiply
    431,453.52x = 646,671.96 × 194,518.80
  4. Step 4: Simplify right side
    431,453.52x = 125,789,853,652.85
  5. Step 5: Solve for x
    x = 125,789,853,652.85/431,453.52
  6. Step 6: Final answer
    x = 291,549.03

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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.