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Finding the Fourth Proportional to 253,469.28, 349,773.12 and 140,285.28

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Solution

The fourth proportional to 253,469.28, 349,773.12 and 140,285.28 is: 193,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,469.28 : 349,773.12 = 140,285.28 : x
  2. Step 2: Convert to fraction form
    253,469.28/349,773.12 = 140,285.28/x
  3. Step 3: Cross multiply
    253,469.28x = 349,773.12 × 140,285.28
  4. Step 4: Simplify right side
    253,469.28x = 49,068,020,075.67
  5. Step 5: Solve for x
    x = 49,068,020,075.67/253,469.28
  6. Step 6: Final answer
    x = 193,585.67

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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.