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Finding the Fourth Proportional to 410,636.20, 617,047.80 and 221,242.00

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Solution

The fourth proportional to 410,636.20, 617,047.80 and 221,242.00 is: 332,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,636.20 : 617,047.80 = 221,242.00 : x
  2. Step 2: Convert to fraction form
    410,636.20/617,047.80 = 221,242.00/x
  3. Step 3: Cross multiply
    410,636.20x = 617,047.80 × 221,242.00
  4. Step 4: Simplify right side
    410,636.20x = 136,516,886,995.32
  5. Step 5: Solve for x
    x = 136,516,886,995.32/410,636.20
  6. Step 6: Final answer
    x = 332,452.15

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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.