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Finding the Fourth Proportional to 328,869, 493,319.70 and 107,253

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Solution

The fourth proportional to 328,869, 493,319.70 and 107,253 is: 160,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,869 : 493,319.70 = 107,253 : x
  2. Step 2: Convert to fraction form
    328,869/493,319.70 = 107,253/x
  3. Step 3: Cross multiply
    328,869x = 493,319.70 × 107,253
  4. Step 4: Simplify right side
    328,869x = 52,910,017,784.10
  5. Step 5: Solve for x
    x = 52,910,017,784.10/328,869
  6. Step 6: Final answer
    x = 160,884.78

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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.