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Finding the Fourth Proportional to 284,537.89, 392,670.21 and 157,221.73

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Solution

The fourth proportional to 284,537.89, 392,670.21 and 157,221.73 is: 216,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,537.89 : 392,670.21 = 157,221.73 : x
  2. Step 2: Convert to fraction form
    284,537.89/392,670.21 = 157,221.73/x
  3. Step 3: Cross multiply
    284,537.89x = 392,670.21 × 157,221.73
  4. Step 4: Simplify right side
    284,537.89x = 61,736,289,735.66
  5. Step 5: Solve for x
    x = 61,736,289,735.66/284,537.89
  6. Step 6: Final answer
    x = 216,970.36

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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.