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Finding the Fourth Proportional to 284,962, 393,235.68 and 157,629.52

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Solution

The fourth proportional to 284,962, 393,235.68 and 157,629.52 is: 217,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,962 : 393,235.68 = 157,629.52 : x
  2. Step 2: Convert to fraction form
    284,962/393,235.68 = 157,629.52/x
  3. Step 3: Cross multiply
    284,962x = 393,235.68 × 157,629.52
  4. Step 4: Simplify right side
    284,962x = 61,985,551,485.27
  5. Step 5: Solve for x
    x = 61,985,551,485.27/284,962
  6. Step 6: Final answer
    x = 217,522.17

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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.