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Finding the Fourth Proportional to 411,191.64, 616,927.48 and 221,670.32

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Solution

The fourth proportional to 411,191.64, 616,927.48 and 221,670.32 is: 332,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,191.64 : 616,927.48 = 221,670.32 : x
  2. Step 2: Convert to fraction form
    411,191.64/616,927.48 = 221,670.32/x
  3. Step 3: Cross multiply
    411,191.64x = 616,927.48 × 221,670.32
  4. Step 4: Simplify right side
    411,191.64x = 136,754,511,908.39
  5. Step 5: Solve for x
    x = 136,754,511,908.39/411,191.64
  6. Step 6: Final answer
    x = 332,580.96

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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.