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Finding the Fourth Proportional to 420,224, 579,957.68 and 233,974.20

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Solution

The fourth proportional to 420,224, 579,957.68 and 233,974.20 is: 322,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,224 : 579,957.68 = 233,974.20 : x
  2. Step 2: Convert to fraction form
    420,224/579,957.68 = 233,974.20/x
  3. Step 3: Cross multiply
    420,224x = 579,957.68 × 233,974.20
  4. Step 4: Simplify right side
    420,224x = 135,695,134,211.86
  5. Step 5: Solve for x
    x = 135,695,134,211.86/420,224
  6. Step 6: Final answer
    x = 322,911.43

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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.