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Finding the Fourth Proportional to 634,784.07, 951,563.74 and 213,830.31

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Solution

The fourth proportional to 634,784.07, 951,563.74 and 213,830.31 is: 320,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,784.07 : 951,563.74 = 213,830.31 : x
  2. Step 2: Convert to fraction form
    634,784.07/951,563.74 = 213,830.31/x
  3. Step 3: Cross multiply
    634,784.07x = 951,563.74 × 213,830.31
  4. Step 4: Simplify right side
    634,784.07x = 203,473,167,130.05
  5. Step 5: Solve for x
    x = 203,473,167,130.05/634,784.07
  6. Step 6: Final answer
    x = 320,539.18

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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.