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Finding the Fourth Proportional to 313,951.02, 432,520.20 and 218,291.64

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Solution

The fourth proportional to 313,951.02, 432,520.20 and 218,291.64 is: 300,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,951.02 : 432,520.20 = 218,291.64 : x
  2. Step 2: Convert to fraction form
    313,951.02/432,520.20 = 218,291.64/x
  3. Step 3: Cross multiply
    313,951.02x = 432,520.20 × 218,291.64
  4. Step 4: Simplify right side
    313,951.02x = 94,415,543,791.13
  5. Step 5: Solve for x
    x = 94,415,543,791.13/313,951.02
  6. Step 6: Final answer
    x = 300,733.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.