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Finding the Fourth Proportional to 256,578.25, 384,830.69 and 88,095.42

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Solution

The fourth proportional to 256,578.25, 384,830.69 and 88,095.42 is: 132,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,578.25 : 384,830.69 = 88,095.42 : x
  2. Step 2: Convert to fraction form
    256,578.25/384,830.69 = 88,095.42/x
  3. Step 3: Cross multiply
    256,578.25x = 384,830.69 × 88,095.42
  4. Step 4: Simplify right side
    256,578.25x = 33,901,818,899.81
  5. Step 5: Solve for x
    x = 33,901,818,899.81/256,578.25
  6. Step 6: Final answer
    x = 132,130.53

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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.