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Finding the Fourth Proportional to 253,607.63, 349,978.52 and 140,430.38

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Solution

The fourth proportional to 253,607.63, 349,978.52 and 140,430.38 is: 193,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,607.63 : 349,978.52 = 140,430.38 : x
  2. Step 2: Convert to fraction form
    253,607.63/349,978.52 = 140,430.38/x
  3. Step 3: Cross multiply
    253,607.63x = 349,978.52 × 140,430.38
  4. Step 4: Simplify right side
    253,607.63x = 49,147,615,156.62
  5. Step 5: Solve for x
    x = 49,147,615,156.62/253,607.63
  6. Step 6: Final answer
    x = 193,793.92

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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.