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Finding the Fourth Proportional to 461,960.78, 637,487.88 and 289,971.14

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Solution

The fourth proportional to 461,960.78, 637,487.88 and 289,971.14 is: 400,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,960.78 : 637,487.88 = 289,971.14 : x
  2. Step 2: Convert to fraction form
    461,960.78/637,487.88 = 289,971.14/x
  3. Step 3: Cross multiply
    461,960.78x = 637,487.88 × 289,971.14
  4. Step 4: Simplify right side
    461,960.78x = 184,853,087,299.78
  5. Step 5: Solve for x
    x = 184,853,087,299.78/461,960.78
  6. Step 6: Final answer
    x = 400,148.88

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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.