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Finding the Fourth Proportional to 634,697.20, 951,447.12 and 213,678.64

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Solution

The fourth proportional to 634,697.20, 951,447.12 and 213,678.64 is: 320,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,697.20 : 951,447.12 = 213,678.64 : x
  2. Step 2: Convert to fraction form
    634,697.20/951,447.12 = 213,678.64/x
  3. Step 3: Cross multiply
    634,697.20x = 951,447.12 × 213,678.64
  4. Step 4: Simplify right side
    634,697.20x = 203,303,926,633.52
  5. Step 5: Solve for x
    x = 203,303,926,633.52/634,697.20
  6. Step 6: Final answer
    x = 320,316.41

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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.