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Finding the Fourth Proportional to 612,345.35, 918,936 and 212,982.14

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Solution

The fourth proportional to 612,345.35, 918,936 and 212,982.14 is: 319,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,345.35 : 918,936 = 212,982.14 : x
  2. Step 2: Convert to fraction form
    612,345.35/918,936 = 212,982.14/x
  3. Step 3: Cross multiply
    612,345.35x = 918,936 × 212,982.14
  4. Step 4: Simplify right side
    612,345.35x = 195,716,951,208.36
  5. Step 5: Solve for x
    x = 195,716,951,208.36/612,345.35
  6. Step 6: Final answer
    x = 319,618.58

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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.