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Finding the Fourth Proportional to 253,410.51, 380,115.72 and 116,619.81

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Solution

The fourth proportional to 253,410.51, 380,115.72 and 116,619.81 is: 174,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,410.51 : 380,115.72 = 116,619.81 : x
  2. Step 2: Convert to fraction form
    253,410.51/380,115.72 = 116,619.81/x
  3. Step 3: Cross multiply
    253,410.51x = 380,115.72 × 116,619.81
  4. Step 4: Simplify right side
    253,410.51x = 44,329,023,044.41
  5. Step 5: Solve for x
    x = 44,329,023,044.41/253,410.51
  6. Step 6: Final answer
    x = 174,929.69

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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.