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Finding the Fourth Proportional to 284,783.43, 393,009 and 157,463.58

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Solution

The fourth proportional to 284,783.43, 393,009 and 157,463.58 is: 217,304.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,783.43 : 393,009 = 157,463.58 : x
  2. Step 2: Convert to fraction form
    284,783.43/393,009 = 157,463.58/x
  3. Step 3: Cross multiply
    284,783.43x = 393,009 × 157,463.58
  4. Step 4: Simplify right side
    284,783.43x = 61,884,604,112.22
  5. Step 5: Solve for x
    x = 61,884,604,112.22/284,783.43
  6. Step 6: Final answer
    x = 217,304.09

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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.