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Finding the Fourth Proportional to 354,403.46, 531,003.54 and 213,866.84

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Solution

The fourth proportional to 354,403.46, 531,003.54 and 213,866.84 is: 320,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,403.46 : 531,003.54 = 213,866.84 : x
  2. Step 2: Convert to fraction form
    354,403.46/531,003.54 = 213,866.84/x
  3. Step 3: Cross multiply
    354,403.46x = 531,003.54 × 213,866.84
  4. Step 4: Simplify right side
    354,403.46x = 113,564,049,128.61
  5. Step 5: Solve for x
    x = 113,564,049,128.61/354,403.46
  6. Step 6: Final answer
    x = 320,437.19

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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.