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Finding the Fourth Proportional to 256,578.33, 354,095.42 and 149,148.03

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Solution

The fourth proportional to 256,578.33, 354,095.42 and 149,148.03 is: 205,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,578.33 : 354,095.42 = 149,148.03 : x
  2. Step 2: Convert to fraction form
    256,578.33/354,095.42 = 149,148.03/x
  3. Step 3: Cross multiply
    256,578.33x = 354,095.42 × 149,148.03
  4. Step 4: Simplify right side
    256,578.33x = 52,812,634,325.02
  5. Step 5: Solve for x
    x = 52,812,634,325.02/256,578.33
  6. Step 6: Final answer
    x = 205,834.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.