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Finding the Fourth Proportional to 421,711.92, 581,957.28 and 230,722.56

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Solution

The fourth proportional to 421,711.92, 581,957.28 and 230,722.56 is: 318,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,711.92 : 581,957.28 = 230,722.56 : x
  2. Step 2: Convert to fraction form
    421,711.92/581,957.28 = 230,722.56/x
  3. Step 3: Cross multiply
    421,711.92x = 581,957.28 × 230,722.56
  4. Step 4: Simplify right side
    421,711.92x = 134,270,673,452.24
  5. Step 5: Solve for x
    x = 134,270,673,452.24/421,711.92
  6. Step 6: Final answer
    x = 318,394.30

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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.