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Finding the Fourth Proportional to 202,978.32, 304,437.24 and 53,221.20

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Solution

The fourth proportional to 202,978.32, 304,437.24 and 53,221.20 is: 79,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,978.32 : 304,437.24 = 53,221.20 : x
  2. Step 2: Convert to fraction form
    202,978.32/304,437.24 = 53,221.20/x
  3. Step 3: Cross multiply
    202,978.32x = 304,437.24 × 53,221.20
  4. Step 4: Simplify right side
    202,978.32x = 16,202,515,237.49
  5. Step 5: Solve for x
    x = 16,202,515,237.49/202,978.32
  6. Step 6: Final answer
    x = 79,823.87

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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.