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Finding the Fourth Proportional to 253,412.53, 380,131.45 and 75,902.63

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Solution

The fourth proportional to 253,412.53, 380,131.45 and 75,902.63 is: 113,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,412.53 : 380,131.45 = 75,902.63 : x
  2. Step 2: Convert to fraction form
    253,412.53/380,131.45 = 75,902.63/x
  3. Step 3: Cross multiply
    253,412.53x = 380,131.45 × 75,902.63
  4. Step 4: Simplify right side
    253,412.53x = 28,852,976,800.71
  5. Step 5: Solve for x
    x = 28,852,976,800.71/253,412.53
  6. Step 6: Final answer
    x = 113,857.74

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1.5x scale

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.