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Finding the Fourth Proportional to 283,068.33, 390,640.25 and 155,744.16

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Solution

The fourth proportional to 283,068.33, 390,640.25 and 155,744.16 is: 214,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,068.33 : 390,640.25 = 155,744.16 : x
  2. Step 2: Convert to fraction form
    283,068.33/390,640.25 = 155,744.16/x
  3. Step 3: Cross multiply
    283,068.33x = 390,640.25 × 155,744.16
  4. Step 4: Simplify right side
    283,068.33x = 60,839,936,819.72
  5. Step 5: Solve for x
    x = 60,839,936,819.72/283,068.33
  6. Step 6: Final answer
    x = 214,930.21

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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.