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Finding the Fourth Proportional to 253,605.71, 349,975.86 and 140,428.46

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Solution

The fourth proportional to 253,605.71, 349,975.86 and 140,428.46 is: 193,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,605.71 : 349,975.86 = 140,428.46 : x
  2. Step 2: Convert to fraction form
    253,605.71/349,975.86 = 140,428.46/x
  3. Step 3: Cross multiply
    253,605.71x = 349,975.86 × 140,428.46
  4. Step 4: Simplify right side
    253,605.71x = 49,146,571,056.98
  5. Step 5: Solve for x
    x = 49,146,571,056.98/253,605.71
  6. Step 6: Final answer
    x = 193,791.26

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1.5x scale

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.