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Finding the Fourth Proportional to 254,998.40, 382,552.64 and 77,519.72

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Solution

The fourth proportional to 254,998.40, 382,552.64 and 77,519.72 is: 116,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,998.40 : 382,552.64 = 77,519.72 : x
  2. Step 2: Convert to fraction form
    254,998.40/382,552.64 = 77,519.72/x
  3. Step 3: Cross multiply
    254,998.40x = 382,552.64 × 77,519.72
  4. Step 4: Simplify right side
    254,998.40x = 29,655,373,538.06
  5. Step 5: Solve for x
    x = 29,655,373,538.06/254,998.40
  6. Step 6: Final answer
    x = 116,296.31

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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.