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Finding the Fourth Proportional to 284,957.34, 393,241.41 and 157,641.54

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Solution

The fourth proportional to 284,957.34, 393,241.41 and 157,641.54 is: 217,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,957.34 : 393,241.41 = 157,641.54 : x
  2. Step 2: Convert to fraction form
    284,957.34/393,241.41 = 157,641.54/x
  3. Step 3: Cross multiply
    284,957.34x = 393,241.41 × 157,641.54
  4. Step 4: Simplify right side
    284,957.34x = 61,991,181,464.17
  5. Step 5: Solve for x
    x = 61,991,181,464.17/284,957.34
  6. Step 6: Final answer
    x = 217,545.48

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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.