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Finding the Fourth Proportional to 393,471, 542,989.98 and 214,623

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Solution

The fourth proportional to 393,471, 542,989.98 and 214,623 is: 296,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,471 : 542,989.98 = 214,623 : x
  2. Step 2: Convert to fraction form
    393,471/542,989.98 = 214,623/x
  3. Step 3: Cross multiply
    393,471x = 542,989.98 × 214,623
  4. Step 4: Simplify right side
    393,471x = 116,538,138,477.54
  5. Step 5: Solve for x
    x = 116,538,138,477.54/393,471
  6. Step 6: Final answer
    x = 296,179.74

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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.