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Finding the Fourth Proportional to 253,425.28, 349,641.44 and 145,992.54

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Solution

The fourth proportional to 253,425.28, 349,641.44 and 145,992.54 is: 201,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,425.28 : 349,641.44 = 145,992.54 : x
  2. Step 2: Convert to fraction form
    253,425.28/349,641.44 = 145,992.54/x
  3. Step 3: Cross multiply
    253,425.28x = 349,641.44 × 145,992.54
  4. Step 4: Simplify right side
    253,425.28x = 51,045,041,914.86
  5. Step 5: Solve for x
    x = 51,045,041,914.86/253,425.28
  6. Step 6: Final answer
    x = 201,420.48

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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.