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Finding the Fourth Proportional to 208,859.20, 313,288.80 and 120,385.60

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Solution

The fourth proportional to 208,859.20, 313,288.80 and 120,385.60 is: 180,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,859.20 : 313,288.80 = 120,385.60 : x
  2. Step 2: Convert to fraction form
    208,859.20/313,288.80 = 120,385.60/x
  3. Step 3: Cross multiply
    208,859.20x = 313,288.80 × 120,385.60
  4. Step 4: Simplify right side
    208,859.20x = 37,715,460,161.28
  5. Step 5: Solve for x
    x = 37,715,460,161.28/208,859.20
  6. Step 6: Final answer
    x = 180,578.40

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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.