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Finding the Fourth Proportional to 256,168.36, 383,465.16 and 218,377

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Solution

The fourth proportional to 256,168.36, 383,465.16 and 218,377 is: 326,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,168.36 : 383,465.16 = 218,377 : x
  2. Step 2: Convert to fraction form
    256,168.36/383,465.16 = 218,377/x
  3. Step 3: Cross multiply
    256,168.36x = 383,465.16 × 218,377
  4. Step 4: Simplify right side
    256,168.36x = 83,739,971,245.32
  5. Step 5: Solve for x
    x = 83,739,971,245.32/256,168.36
  6. Step 6: Final answer
    x = 326,894.28

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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.