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Finding the Fourth Proportional to 306,930.28, 460,395.42 and 289,604.20

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Solution

The fourth proportional to 306,930.28, 460,395.42 and 289,604.20 is: 434,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,930.28 : 460,395.42 = 289,604.20 : x
  2. Step 2: Convert to fraction form
    306,930.28/460,395.42 = 289,604.20/x
  3. Step 3: Cross multiply
    306,930.28x = 460,395.42 × 289,604.20
  4. Step 4: Simplify right side
    306,930.28x = 133,332,447,292.76
  5. Step 5: Solve for x
    x = 133,332,447,292.76/306,930.28
  6. Step 6: Final answer
    x = 434,406.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.