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Finding the Fourth Proportional to 410,852.40, 617,200.20 and 395,185.20

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Solution

The fourth proportional to 410,852.40, 617,200.20 and 395,185.20 is: 593,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,852.40 : 617,200.20 = 395,185.20 : x
  2. Step 2: Convert to fraction form
    410,852.40/617,200.20 = 395,185.20/x
  3. Step 3: Cross multiply
    410,852.40x = 617,200.20 × 395,185.20
  4. Step 4: Simplify right side
    410,852.40x = 243,908,384,477.04
  5. Step 5: Solve for x
    x = 243,908,384,477.04/410,852.40
  6. Step 6: Final answer
    x = 593,664.26

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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.