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Finding the Fourth Proportional to 464,893.47, 640,825.14 and 303,667.83

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Solution

The fourth proportional to 464,893.47, 640,825.14 and 303,667.83 is: 418,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,893.47 : 640,825.14 = 303,667.83 : x
  2. Step 2: Convert to fraction form
    464,893.47/640,825.14 = 303,667.83/x
  3. Step 3: Cross multiply
    464,893.47x = 640,825.14 × 303,667.83
  4. Step 4: Simplify right side
    464,893.47x = 194,597,979,673.25
  5. Step 5: Solve for x
    x = 194,597,979,673.25/464,893.47
  6. Step 6: Final answer
    x = 418,586.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.