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Finding the Fourth Proportional to 400,137.80, 600,206.70 and 337,152.20

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Solution

The fourth proportional to 400,137.80, 600,206.70 and 337,152.20 is: 505,728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,137.80 : 600,206.70 = 337,152.20 : x
  2. Step 2: Convert to fraction form
    400,137.80/600,206.70 = 337,152.20/x
  3. Step 3: Cross multiply
    400,137.80x = 600,206.70 × 337,152.20
  4. Step 4: Simplify right side
    400,137.80x = 202,361,009,359.74
  5. Step 5: Solve for x
    x = 202,361,009,359.74/400,137.80
  6. Step 6: Final answer
    x = 505,728.30

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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.