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Finding the Fourth Proportional to 612,150, 918,227.14 and 185,689.50

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Solution

The fourth proportional to 612,150, 918,227.14 and 185,689.50 is: 278,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,150 : 918,227.14 = 185,689.50 : x
  2. Step 2: Convert to fraction form
    612,150/918,227.14 = 185,689.50/x
  3. Step 3: Cross multiply
    612,150x = 918,227.14 × 185,689.50
  4. Step 4: Simplify right side
    612,150x = 170,505,138,513.03
  5. Step 5: Solve for x
    x = 170,505,138,513.03/612,150
  6. Step 6: Final answer
    x = 278,534.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.