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Finding the Fourth Proportional to 202,437.60, 303,656.40 and 187,231.20

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Solution

The fourth proportional to 202,437.60, 303,656.40 and 187,231.20 is: 280,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,437.60 : 303,656.40 = 187,231.20 : x
  2. Step 2: Convert to fraction form
    202,437.60/303,656.40 = 187,231.20/x
  3. Step 3: Cross multiply
    202,437.60x = 303,656.40 × 187,231.20
  4. Step 4: Simplify right side
    202,437.60x = 56,853,952,159.68
  5. Step 5: Solve for x
    x = 56,853,952,159.68/202,437.60
  6. Step 6: Final answer
    x = 280,846.80

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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.