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Finding the Fourth Proportional to 253,814.45, 380,722.55 and 64,274.75

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Solution

The fourth proportional to 253,814.45, 380,722.55 and 64,274.75 is: 96,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,814.45 : 380,722.55 = 64,274.75 : x
  2. Step 2: Convert to fraction form
    253,814.45/380,722.55 = 64,274.75/x
  3. Step 3: Cross multiply
    253,814.45x = 380,722.55 × 64,274.75
  4. Step 4: Simplify right side
    253,814.45x = 24,470,845,923.34
  5. Step 5: Solve for x
    x = 24,470,845,923.34/253,814.45
  6. Step 6: Final answer
    x = 96,412.35

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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.