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Finding the Fourth Proportional to 434,463.84, 650,847.30 and 206,434.94

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Solution

The fourth proportional to 434,463.84, 650,847.30 and 206,434.94 is: 309,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,463.84 : 650,847.30 = 206,434.94 : x
  2. Step 2: Convert to fraction form
    434,463.84/650,847.30 = 206,434.94/x
  3. Step 3: Cross multiply
    434,463.84x = 650,847.30 × 206,434.94
  4. Step 4: Simplify right side
    434,463.84x = 134,357,620,070.43
  5. Step 5: Solve for x
    x = 134,357,620,070.43/434,463.84
  6. Step 6: Final answer
    x = 309,249.26

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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.