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Finding the Fourth Proportional to 612,161, 917,715.60 and 212,749.88

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Solution

The fourth proportional to 612,161, 917,715.60 and 212,749.88 is: 318,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,161 : 917,715.60 = 212,749.88 : x
  2. Step 2: Convert to fraction form
    612,161/917,715.60 = 212,749.88/x
  3. Step 3: Cross multiply
    612,161x = 917,715.60 × 212,749.88
  4. Step 4: Simplify right side
    612,161x = 195,243,883,774.13
  5. Step 5: Solve for x
    x = 195,243,883,774.13/612,161
  6. Step 6: Final answer
    x = 318,942.05

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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.