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Finding the Fourth Proportional to 256,898.98, 385,385.39 and 79,419.84

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Solution

The fourth proportional to 256,898.98, 385,385.39 and 79,419.84 is: 119,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,898.98 : 385,385.39 = 79,419.84 : x
  2. Step 2: Convert to fraction form
    256,898.98/385,385.39 = 79,419.84/x
  3. Step 3: Cross multiply
    256,898.98x = 385,385.39 × 79,419.84
  4. Step 4: Simplify right side
    256,898.98x = 30,607,246,012.14
  5. Step 5: Solve for x
    x = 30,607,246,012.14/256,898.98
  6. Step 6: Final answer
    x = 119,141.17

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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.