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Finding the Fourth Proportional to 213,714.39, 320,464.67 and 71,510.79

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Solution

The fourth proportional to 213,714.39, 320,464.67 and 71,510.79 is: 107,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,714.39 : 320,464.67 = 71,510.79 : x
  2. Step 2: Convert to fraction form
    213,714.39/320,464.67 = 71,510.79/x
  3. Step 3: Cross multiply
    213,714.39x = 320,464.67 × 71,510.79
  4. Step 4: Simplify right side
    213,714.39x = 22,916,681,361.24
  5. Step 5: Solve for x
    x = 22,916,681,361.24/213,714.39
  6. Step 6: Final answer
    x = 107,230.41

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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.