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Finding the Fourth Proportional to 611,988,071.40, 917,481,896.40 and 284,667,654.60

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Solution

The fourth proportional to 611,988,071.40, 917,481,896.40 and 284,667,654.60 is: 426,768,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,988,071.40 : 917,481,896.40 = 284,667,654.60 : x
  2. Step 2: Convert to fraction form
    611,988,071.40/917,481,896.40 = 284,667,654.60/x
  3. Step 3: Cross multiply
    611,988,071.40x = 917,481,896.40 × 284,667,654.60
  4. Step 4: Simplify right side
    611,988,071.40x = 261,177,419,586,148,192
  5. Step 5: Solve for x
    x = 261,177,419,586,148,192/611,988,071.40
  6. Step 6: Final answer
    x = 426,768,807.75

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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.