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Finding the Fourth Proportional to 256,828.07, 385,146.32 and 88,300.68

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Solution

The fourth proportional to 256,828.07, 385,146.32 and 88,300.68 is: 132,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,828.07 : 385,146.32 = 88,300.68 : x
  2. Step 2: Convert to fraction form
    256,828.07/385,146.32 = 88,300.68/x
  3. Step 3: Cross multiply
    256,828.07x = 385,146.32 × 88,300.68
  4. Step 4: Simplify right side
    256,828.07x = 34,008,681,513.99
  5. Step 5: Solve for x
    x = 34,008,681,513.99/256,828.07
  6. Step 6: Final answer
    x = 132,418.09

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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.