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Finding the Fourth Proportional to 284,871.74, 393,116.29 and 157,544.60

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Solution

The fourth proportional to 284,871.74, 393,116.29 and 157,544.60 is: 217,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,871.74 : 393,116.29 = 157,544.60 : x
  2. Step 2: Convert to fraction form
    284,871.74/393,116.29 = 157,544.60/x
  3. Step 3: Cross multiply
    284,871.74x = 393,116.29 × 157,544.60
  4. Step 4: Simplify right side
    284,871.74x = 61,933,346,302.09
  5. Step 5: Solve for x
    x = 61,933,346,302.09/284,871.74
  6. Step 6: Final answer
    x = 217,407.83

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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.