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Finding the Fourth Proportional to 472,409.60, 708,657.60 and 191,868.80

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Solution

The fourth proportional to 472,409.60, 708,657.60 and 191,868.80 is: 287,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,409.60 : 708,657.60 = 191,868.80 : x
  2. Step 2: Convert to fraction form
    472,409.60/708,657.60 = 191,868.80/x
  3. Step 3: Cross multiply
    472,409.60x = 708,657.60 × 191,868.80
  4. Step 4: Simplify right side
    472,409.60x = 135,969,283,322.88
  5. Step 5: Solve for x
    x = 135,969,283,322.88/472,409.60
  6. Step 6: Final answer
    x = 287,820.75

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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.