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Finding the Fourth Proportional to 409,412.70, 614,205.45 and 128,958.30

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Solution

The fourth proportional to 409,412.70, 614,205.45 and 128,958.30 is: 193,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,412.70 : 614,205.45 = 128,958.30 : x
  2. Step 2: Convert to fraction form
    409,412.70/614,205.45 = 128,958.30/x
  3. Step 3: Cross multiply
    409,412.70x = 614,205.45 × 128,958.30
  4. Step 4: Simplify right side
    409,412.70x = 79,206,890,682.74
  5. Step 5: Solve for x
    x = 79,206,890,682.74/409,412.70
  6. Step 6: Final answer
    x = 193,464.66

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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.