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Finding the Fourth Proportional to 472,941.80, 709,392.84 and 220,135.40

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Solution

The fourth proportional to 472,941.80, 709,392.84 and 220,135.40 is: 330,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,941.80 : 709,392.84 = 220,135.40 : x
  2. Step 2: Convert to fraction form
    472,941.80/709,392.84 = 220,135.40/x
  3. Step 3: Cross multiply
    472,941.80x = 709,392.84 × 220,135.40
  4. Step 4: Simplify right side
    472,941.80x = 156,162,476,590.54
  5. Step 5: Solve for x
    x = 156,162,476,590.54/472,941.80
  6. Step 6: Final answer
    x = 330,193.86

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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.