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Finding the Fourth Proportional to 363,902.78, 545,779 and 97,600

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Solution

The fourth proportional to 363,902.78, 545,779 and 97,600 is: 146,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,902.78 : 545,779 = 97,600 : x
  2. Step 2: Convert to fraction form
    363,902.78/545,779 = 97,600/x
  3. Step 3: Cross multiply
    363,902.78x = 545,779 × 97,600
  4. Step 4: Simplify right side
    363,902.78x = 53,268,030,400
  5. Step 5: Solve for x
    x = 53,268,030,400/363,902.78
  6. Step 6: Final answer
    x = 146,379.84

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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.