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Finding the Fourth Proportional to 340,374.20, 509,783.70 and 200,406.20

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Solution

The fourth proportional to 340,374.20, 509,783.70 and 200,406.20 is: 300,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,374.20 : 509,783.70 = 200,406.20 : x
  2. Step 2: Convert to fraction form
    340,374.20/509,783.70 = 200,406.20/x
  3. Step 3: Cross multiply
    340,374.20x = 509,783.70 × 200,406.20
  4. Step 4: Simplify right side
    340,374.20x = 102,163,814,138.94
  5. Step 5: Solve for x
    x = 102,163,814,138.94/340,374.20
  6. Step 6: Final answer
    x = 300,151.46

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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.