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Finding the Fourth Proportional to 213,438, 320,261.04 and 143,178.96

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Solution

The fourth proportional to 213,438, 320,261.04 and 143,178.96 is: 214,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,438 : 320,261.04 = 143,178.96 : x
  2. Step 2: Convert to fraction form
    213,438/320,261.04 = 143,178.96/x
  3. Step 3: Cross multiply
    213,438x = 320,261.04 × 143,178.96
  4. Step 4: Simplify right side
    213,438x = 45,854,642,635.72
  5. Step 5: Solve for x
    x = 45,854,642,635.72/213,438
  6. Step 6: Final answer
    x = 214,838.23

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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.