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Finding the Fourth Proportional to 284,796.72, 393,021.48 and 155,735.76

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Solution

The fourth proportional to 284,796.72, 393,021.48 and 155,735.76 is: 214,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,796.72 : 393,021.48 = 155,735.76 : x
  2. Step 2: Convert to fraction form
    284,796.72/393,021.48 = 155,735.76/x
  3. Step 3: Cross multiply
    284,796.72x = 393,021.48 × 155,735.76
  4. Step 4: Simplify right side
    284,796.72x = 61,207,498,884.12
  5. Step 5: Solve for x
    x = 61,207,498,884.12/284,796.72
  6. Step 6: Final answer
    x = 214,916.45

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1.5x scale

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.