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Finding the Fourth Proportional to 610,647.64, 916,054.62 and 211,181.20

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Solution

The fourth proportional to 610,647.64, 916,054.62 and 211,181.20 is: 316,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,647.64 : 916,054.62 = 211,181.20 : x
  2. Step 2: Convert to fraction form
    610,647.64/916,054.62 = 211,181.20/x
  3. Step 3: Cross multiply
    610,647.64x = 916,054.62 × 211,181.20
  4. Step 4: Simplify right side
    610,647.64x = 193,453,513,917.14
  5. Step 5: Solve for x
    x = 193,453,513,917.14/610,647.64
  6. Step 6: Final answer
    x = 316,800.56

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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.