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Finding the Fourth Proportional to 632,005.80, 948,008.70 and 419,429.40

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Solution

The fourth proportional to 632,005.80, 948,008.70 and 419,429.40 is: 629,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,005.80 : 948,008.70 = 419,429.40 : x
  2. Step 2: Convert to fraction form
    632,005.80/948,008.70 = 419,429.40/x
  3. Step 3: Cross multiply
    632,005.80x = 948,008.70 × 419,429.40
  4. Step 4: Simplify right side
    632,005.80x = 397,622,720,235.78
  5. Step 5: Solve for x
    x = 397,622,720,235.78/632,005.80
  6. Step 6: Final answer
    x = 629,144.10

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Similar ratio
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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.