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Finding the Fourth Proportional to 472,004.40, 708,409.80 and 191,722.80

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Solution

The fourth proportional to 472,004.40, 708,409.80 and 191,722.80 is: 287,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,004.40 : 708,409.80 = 191,722.80 : x
  2. Step 2: Convert to fraction form
    472,004.40/708,409.80 = 191,722.80/x
  3. Step 3: Cross multiply
    472,004.40x = 708,409.80 × 191,722.80
  4. Step 4: Simplify right side
    472,004.40x = 135,818,310,403.44
  5. Step 5: Solve for x
    x = 135,818,310,403.44/472,004.40
  6. Step 6: Final answer
    x = 287,747.98

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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.